Sommaire du Fascicule no. 4

Elections to membership

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The October meeting in New York

Pitcher, Everett

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The October meeting in Middletown

Gottschalk, Walter

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The November meeting in Nashville

Harrold, O. G.

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The November meeting in Los Angeles

Ross, Kenneth A.

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The November meeting in Houston

Bateman, Paul T.

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On unsmoothable diffeomorphisms

Harrison, Jenny

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The March meeting in Mobile

Harrold, O. G.

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A geometric proof of the strong maximal theorem

Cordoba, A. ; Fefferman, R.

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The March meeting in New York

Gottschalk, Walter H.

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The April meeting in Monterey

Ross, Kenneth A.

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The June meeting in Pullman

Ross, Kenneth A.

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Zeta functions and their asymptotic expansions for compact locally symmetric spaces of negative curvature

Cahn, Robert S. ; Wolf, Joseph A.

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Addendum, The $q$-regularity of lattice point paths in $R^n$

Paul, Jerome L.

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Corrigendum, Volume 79

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Corrigendum, Volume 80

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Statement of owenership, management and circulation

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The April meeting in Santa Barbara

Ross, Kenneth A.

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Some convexity and subadditivity properties of entropy

Lieb, Elliott H.

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p. 1-13

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Diophantine equations and modular forms

Ogg, A. P.

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p. 14-27

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Review: Robert P. Feinerman and Donald J. Newman, Polynomial approximation

Rivlin, Theodore J.

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p. 28-30

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Review: H. Radjavi and P. Rosenthal, Invariant subspaces

Hoover, T. B.

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p. 31-34

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Review: D. H. Fremlin, Topological Riesz spaces and measure theory

Gillespie, T. A.

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p. 35-38

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Review: Walter Borho, Peter Gabriel and Rudolph Rentschler, Primideale in Einhüllenden auflösbarer Lie-algebren

Hochschild, G.

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p. 39-40

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Review: Joram Lindenstrauss and Lior Tzafriri, Classical Banach spaces

Bennett, Grahame

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p. 41-44

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Joseph L. Walsh in memoriam

Marden, Morris

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p. 45-65

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Elections to membership

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p. 66-68

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The April meeting in New York

Gottschalk, Walter

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p. 69-70

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The May meeting in Dekalb

Bateman, Paul T.

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p. 71-72

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Existence theorems for nonlinear integral equations of Hammerstein type

Brezis, Haim ; Browder, Felix E.

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p. 73-78

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Differential inequalities and Carathéodory functions

Miller, Sanford

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p. 79-81

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Maximal monotone operators in nonreflexive Banach spaces and nonlinear integral equations of Hammerstein type

Brezis, Haim ; Browder, Felix E.

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p. 82-88

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Group actions and curvature

Grove, Karsten ; Karcher, Hermann ; Ruh, Ernst A.

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p. 89-92

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An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

Aloff, Simon ; Wallach, Nolan R.

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p. 93-97

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Conical distributions for rank one symmetric spaces

Hu, Men-Chang

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p. 98-100

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Approximation theorems, $C^ \infty$ convex exhaustions and manifolds of positive curvature

Greene, R. E. ; Wu, H.

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p. 101-104

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On weak and strong convergence of positive contractions in $L_p$ spaces

Akcoglu, M. A. ; Sucheston, L.

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p. 105-106

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Sums of $k$th powers in the ring of polynomials with integer coefficients

Chinburg, Ted ; Henriksen, Melvin

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p. 107-110

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A complete local factorial ring of dimension 4 which is not Cohen-Macaulay

Fossum, Robert M. ; Griffith, Phillip A.

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p. 111-113

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The conjugacy problem and cyclic amalgamations

Lipschutz, Seymour

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p. 114-116

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$L_2$-representations and a Plancherel-type theorem for parabolic subgroups

Keene, Frederick W.

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p. 117-120

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Commutative subalgebra of $L^1 \left(G \right)$ associated with a subelliptic operator on a Lie group $G$

Hulanicki, A.

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p. 121-124

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Relative completions of $A$-Segal algebras

Burnham, James T.

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p. 125-127

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Harmonic forms and Riesz transforms for rank one symmetric spaces

Kaplan, Aroldo ; Putz, Robert

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p. 128-132

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Cohen-Macaulay rings and constructible polytopes

Stanley, Richard P.

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p. 133-135

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A lattice fixed-point theorem with constraints

Roth, Alvin E.

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p. 136-138

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On the distribution of the zeros of the Riemann zeta function in short intervals

Fujii, Akio

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p. 139-142

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On the conjugate of bounded functions

Pichorides, S. K.

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p. 143-144

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A constructive characterization of disconjugacy

Zettl, Anton

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p. 145-147

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New infinite families in the stable homotopy of spheres

Smith, Larry

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p. 148-150

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Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

Almgren, F. J.

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p. 151-154

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A strong nonimmersion theorem for ${\mathbf{R}}P^{8l+7}$

Davis, Donald M. ; Mahowald, Mark

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p. 155-156

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Framefields and nondegenerate singularities

Koschorke, Ulrich

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p. 157-160

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Some diophantine equations related to the quadratic form $ax^2+by^2$

Bender, Edward A. ; Herzberg, Norman P.

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p. 161-162

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Compact ANR's have finite type

West, James E.

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p. 163-165

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Weak sequential convergence in the dual of a Banach space does not imply norm convergence

Josefson, Bengt

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p. 166-168

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Analysis and synthesis for the point and unitary spectra. I

Nikol′skiĭ, N. K.

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p. 169-172

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Analysis and synthesis for the point and unitary spectra. II

Nikol′skiĭ, N. K.

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p. 173-176

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Some integral inequalities of two geometric invariants

Chen, Bang-Yen

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p. 177-178

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An algorithm for the topological degree of a mapping in $n$-space

Stenger, Frank

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p. 179-182

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Trigonometry on the unit ball of a complex Hilbert space

Hahn, Kyong T.

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p. 183-186

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Mapping cylinder neighborhoods of some ANR's

Miller, R. T.

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p. 187-188

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Uniformly trivial maps into spheres

Calder, Allan

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p. 189-191

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Some subalgebras of $L^\infty \left(T \right)$ determined by their maximal ideal spaces

Weight, T.

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p. 192-194

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Closed algebras of smooth functions

Byrnes, Christopher I.

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p. 195-198

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A comparative study of the zeros of Dirichlet $L$-functions

Fujii, Akio

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p. 199-201

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Algebras of analytic functions on degenerating Riemann surfaces

Rochberg, Richard

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p. 202-204

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Groups of diffeomorphisms of $R^n$ and the flow of a perfect fluid

Cantor, Murray

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p. 205-208

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Ultrafilters and almost disjoint sets. II

Prikry, Karel

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p. 209-212

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The number of zeroes of an analytic function in a cone

Berenstein, Carlos A.

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p. 213-214

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On local solvability of linear partial differential equations not of principal type

Wenston, Paul R.

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p. 215-218

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Maximum principles without differentiability

Clarke, Frank H.

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p. 219-222

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On the approximation-solvability of equations involving $A$-proper and pseudo-$A$-proper mappings

Petryshyn, W. V.

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p. 223-312

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Manifolds with preassigned curvature—a survey

Gluck, Herman

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p. 313-329

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Asymptotic analysis of transport processes

Papanicolaou, George C.

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p. 330-392

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Review: G. A. Freiman, Foundations of a structural theory of set addition

Gordon, Basil

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p. 393-396

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Review: Robert Steinberg, Conjugacy classes in algebraic groups

Magid, Andy R.

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p. 397-400

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Prehomogeneous vector space defined by a semisimple algebraic group

Anh, Nguyen Huu

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p. 402-406

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Nonregular contact structures on Brieskorn manifolds

Abe, Kinetsu ; Erbacher, Joseph

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p. 407-409

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On the representation and approximation of a class of operator-valued analytic functions

Allen, G. D. ; Narcowich, F. J.

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p. 410-412

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The HNN and generalized free product structure of certain linear groups

Fine, Benjamin

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p. 413-416

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Round handles and homotopy of nonsingular vector fields

Asimov, Daniel

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p. 417-419

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Automorphisms of solvable groups

Bachmuth, S. ; Mochizuki, H. Y.

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p. 420-422

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Necessary and sufficient conditions for determining a Hill's equation from its spectrum

Goldberg, Wallace

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p. 423-424

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The Lefschetz number and fiber preserving maps

Becker, J. C. ; Casson, A. ; Gottlieb, D. H.

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p. 425-427

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A radial multiplier and a related Kakeya maximal function

Cordoba, Antonio

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p. 428-430

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Steenrod homology and operator algebras

Kaminker, Jerome ; Schochet, Claude

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p. 431-434

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Complete automorphism groups

Dyer, Joan L. ; Formanek, Edward

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p. 435-437

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The stability problem in shape and a Whitehead theorem in pro-homotopy

Edwards, David A. ; Geoghegan, Ross

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p. 438-440

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The products of manifolds with the f.p.p. need not have the f.p.p.

Husseini, S. Y.

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p. 441-442

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Linear approximation by exponential sums on finite intervals

Golitschek, M. v.

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p. 443-445

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The determinant of a random matrix

Grünbaum, F. Alberto

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p. 446-448

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A uniqueness theorem for homology in $\cal C$at, the category of small categories

Latch, Dana May

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p. 449-452

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Derivatives of entire functions and a question of Pólya

Hellerstein, Simon ; Williamson, Jack

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p. 453-455

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Real forms of hermitian symmetric spaces

Jaffee, Harris A.

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p. 456-458

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Semicontinuity of Kodaira dimension

Lieberman, D. ; Serenesi, E.

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p. 459-460

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Removable singularities of solutions of systems of linear differential equations

Kawai, Takahiro

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p. 461-463

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An entropy equidistribution property for a measurable partition under the action of an amenable group

Kieffer, J. C.

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p. 464-466

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A 4-manifold which admits no spine

Matsumoto, Yukio

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p. 467-470

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On the ${\mathbf{R}}$-forms of certain algebraic varieties

Kudla, Stephen

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p. 471-473

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Proper $T$-maps of $T$-modules

Meyerhoff, Alan A.

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p. 474-476

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A restriction theorem for the Fourier transform

Tomas, Peter A.

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p. 477-478

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Multipliers of closed ideals of $L^p \left({D^\infty}\right)$

Oberlin, Daniel M.

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p. 479-481

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Fixed-points of finite group actions on contractible complexes

Oliver, Robert

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p. 482-484

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Matrix differential equations

Redheffer, Ray

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p. 485-488

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Classifying relative equilibria. II

Palmore, Julian I.

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p. 489-491

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The $q$-regularity of lattice point paths in $R^n$

Paul, Jerome L.

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p. 492-494

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Some degenerations of a compact Riemann surface of genus 4

Lebowitz, Aaron

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p. 495-499

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On relative class numbers of certain quadratic extensions

Shyr, Jih-Min

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p. 500-502

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Measures as convolution operators on Hardy and Lipschitz spaces

Zafran, Misha

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p. 503-505

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Council and board of trustees. 1974 and 1975

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p. 507-508

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Quasi-analytic vectors and quasi-analytic functions

Chernoff, Paul R.

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p. 637-646

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Review: Peter Henrici, Applied and computational complex analysis

Boas, R. P.

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p. 647-652

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Review: Jacques Tits, Buildings of spherical type and finite $BN$-pairs

Curtis, Charles W.

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p. 652-657

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Review: Gerhard Ringel, Map color theorem

Kleitman, D. J.

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p. 657-660

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Review: R. O. Wells Jr., Differential analysis on complex manifolds

Morrow, James A.

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p. 660-663

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Review: Hans Rademacher, Topics in analytic number theory

Stark, H. M.

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p. 663-672

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Review: L. Kuipers and H. Niederreiter, Uniform distribution of sequences

Tijdeman, R.

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p. 672-675

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Review: Joseph E. Hofmann, Leibniz in Paris 1672–1676, his growth to mathematical maturity

Weil, A.

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p. 676-688

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Elections to membership

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p. 689-696

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Loop spaces and finite orthogonal groups

Fiedorowicz, Zbigniew ; Priddy, Stewart

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p. 700-702

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A functional characterization of Markovian linear exaves

Dhombres, J. G.

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p. 703-706

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Generic matrices, $K_2$, and unirational fields

Rosset, Shmuel

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p. 707-708

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Finitely embedded modules over Noetherian rings

Ginn, S. M. ; Moss, P. B.

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p. 709-710

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Convoluteurs of $H^p$ spaces

Johnson, R.

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p. 711-714

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A cohomological structural theorem for topological actions of ${\text{Z}}_2$-tori on spaces of ${\text{Z}}_2$-cohomology type of successive fibration of projective spaces

Hsiang, Wu-Yi ; Su, J. C.

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p. 714-717

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Topologically defined classes of going-down domains

Papick, Ira J.

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p. 718-721

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$G$-transversality

Petrie, Ted

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p. 721-722

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The loop space problem and its consequences

Lin, James P.

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p. 723-725

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Deforming P.L. homeomorphisms on a convex 2-disk

Ho, Chung-Wu

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p. 726-728

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Extension theorems for reductive group actions on compact Kaehler manifolds

Sommese, Andrew J.

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p. 729-732

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Dual orthogonal series: an abstract approach

Feinerman, Robert P. ; Kelman, Robert B.

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p. 733-736

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Conformal geometry in higher dimensions. I

Kulkarni, R. S.

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p. 736-738

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Limits of solutions of Volterra integral equations

Camy, R. C. Mac ; Smith, R. L.

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p. 739-742

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Maxima in Brownian excursions

Chung, Kai Lai

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p. 742-745

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$C^*$-algebras generated by commuting isometries. I

Berger, C. A. ; Coburn, L. A. ; Lebow, A.

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p. 747-749

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Generic properties of retarded functional differential equations

Mallet-Paret, John

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p. 750-752

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The Selberg trace formula for congruence subgroups

Hejhal, Dennis A.

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p. 752-755

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On cuspidal representations of $p$-adic reductive groups

Gerardin, Paul

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p. 756-758

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Reductive algebras and automorphism groups of von Neumann algebras

Loebl, Richard I. ; Muhly, Paul S.

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p. 759-761

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Integral transforms of weak type between rearrangement invariant spaces

Milman, Mario

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p. 761-762

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The Banach spaces $C\left( K \right)$ and $L^p \left( \mu \right)^1$

Rosenthal, Haskell P.

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p. 763-781

Project Euclid
Some mathematical problems in biology

Rubinow, S. I.

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p. 782-794

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Embeddings of surfaces in euclidean three-space

Burgess, C. E.

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p. 795-818

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The May council meeting in Dekalb

Pitcher, Everett

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p. 819-820

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The annual meeting in Washington, D.C.

Pitcher, Everett ; Gottschalk, Walter H.

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p. 822-827

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Elections to membership

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p. 828-833

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Report of the treasurer

Peterson, Franklin P.

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p. 834-836

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Review: L. Arnold, Stochastic differential equations: theory and applications, and A. V. Balakrishnan, Stochastic differential systems. I: Filtering and control, a function space approach

Goodman, Victor

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p. 837-840

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Review: L. D. Berkovitz, Optimal control theory

Fleming, W. H.

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p. 840-841

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Review: S. Prössdorf, Einige Klassen singularen Gleichungen

Douglas, R. G.

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p. 841-842

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Review: Sterling K. Berberian, Lectures in functional analysis and operator theory, and Edward W. Packel, Functional analysis, a short course, and Walter Rudin, Functional analysis

Akemann, Charles A.

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p. 842-844

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Review: G. Matheron, Random sets and integral geometry

Kingman, J. F. C.

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p. 844-847

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Review: W. F. Donoghue Jr., Monotone matrix functions and analytic continuation

Korányi, Adam

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p. 847-851

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Review: Urs Stammbach, Homology in group theory

Gruenberg, K. W.

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p. 851-854

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Review: Keith J. Devlin, Aspects of constructibility

Magidor, Menachem

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p. 854-857

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Review: I. Ekeland and R. Teman, Analyse convexe et problèmes variationelles

Morrey, Charles B.

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p. 857-862

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Review: John W. Milnor and James D. Stasheff, Characteristic classes

Spanier, E. H.

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p. 862-865

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Review: V. S. Varadarajan, Lie groups, Lie algebras, and their representations, and D. P. Želobenko, Compact Lie groups and their representations

Knapp, A. W.

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p. 865-872

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Review: Valentin Poenaru, Analyse différentielle, and M. Golubitsky and V. Guillemin, Stable mappings and their singularities

Levine, Harold

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p. 872-881

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Review: Barry Simon, The $P\left( \Phi \right)_2$ euclidean (quantum) field theory

Challifour, John L.

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p. 881-885

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Review: Dominique Foata, La série génératrice exponentielle dans les problèmes d'énumération

Whitehead, Earl Glen

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p. 885-886

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Review: M. M. Vainberg and V. A. Trenogin, Theory of branching of solutions of non-linear equations

Sattinger, David H.

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p. 886-889

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An iterative solution of a variational inequality for certain monotone operators in Hilbert space

Bruck, Ronald E.

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p. 890-892

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On the geometry of noncommutative spectral theory

Alfsen, Erik M. ; Shultz, Frederic W.

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p. 893-895

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The invalidity of the Calderon-Zygmund inequality for singular integrals over local fields

Daly, James E.

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p. 896-899

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Images of homogeneous vector bundles and varieties of complexes

Kempf, George R.

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p. 900-901

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A generalized Weil type representation and a function analogous to $e^{-x^2}$

Kubota, Tomio

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p. 902-903

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On the Nachbin topology in spaces of holomorphic functions

Mujica, Jorge

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p. 904-906

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Ideals and powers of cardinals

Prikry, Karel

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p. 907-909

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Convexity for a simply connected $p$-adic group

Silberger, Allan J.

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p. 910-912

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An extension of Khintchine's inequality

Newman, C. M.

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p. 913-915

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Counting the faces of cut-up spaces

Zaslavsky, Thomas

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p. 916-918

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The wall obstruction in shape and pro-homotopy, with applications

Edwards, David A. ; Geoghegan, Ross

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p. 919-920

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Ergodic equivalence relations, cohomology, and von Neumann algebras

Feldman, Jacob ; Moore, Calvin C.

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p. 921-924

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Concavity of magnetization for a class of even ferromagnets

Ellis, Richard S.

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p. 925-929

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A universal formal group and complex cobordism

Hazewinkel, Michiel

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p. 930-933

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A presentation for some $K_2 \left({n,R} \right)$

van der Kallen, Wilberd ; Maazen, Hendrik ; Stienstra, Jan

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p. 934-936

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The Euler characteristic of an affine space form is zero

Kostant, B. ; Sullivan, D.

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p. 937-938

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Normal self-intersections of the characteristic variety

Melrose, Richard B.

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p. 939-940

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Springer-type theorems for spinor genera of quadratic forms

Earnest, A. G. ; Hsia, J. S.

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p. 942-943

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A structure sheaf for a noncommutative Noetherian ring

Goldston, Beth ; Mewborn, A. C.

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p. 944-946

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The group algebra of a torsion-free one-relator group can be embedded in a field

Lewin, Jacques ; Lewin, Tekla

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p. 947-949

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On a mean value inequality

Torchinsky, Alberto

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p. 950-953

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Proof of a conjecture of Askey on orthogonal expansions with positive coefficients

Trench, William F.

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p. 954-956

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A solution to the Blumberg problem

Weiss, William A. R.

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p. 957-958

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Distal transformation groups and fibre bundles

Zimmer, Robert J.

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p. 959-960

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The analytic theory of algebraic numbers

Stark, H. M.

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p. 961-972

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The decision problem for recursively enumerable degrees

Shoenfield, J. R.

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p. 973-977

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Applications of Banach ideals of operators

Retherford, J. R.

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p. 978-1012

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A priori estimates, geometric effects and asymptotic behavior

John, Fritz

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p. 1013-1023

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Review: Ju. L. Daleckii and M. G. Kreĭn, Stability of solutions of differential equations in Banach space

Schäffer, Juan Jorge

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p. 1024-1028

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Review: János Bognár, Indefinite inner product spaces

Helton, J. William

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p. 1028-1030

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Review: Yiannis Nicholas Moschovakis, Elementary induction on abstract structures

Barwise, K. Jon

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p. 1031-1035

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Review: R. P. Gilbert, Constructive methods for elliptic equations

Erdélyi, A.

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p. 1036-1037

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Review: David J. Winter, The structure of fields

Osofsky, Barbara L.

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p. 1037-1041

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Review: M. D. Mesarovic and Y. Takahara, General systems theory: Mathematical foundations

Mullin, Albert A.

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p. 1042-1044

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Review: R. Bellman and G. M. Wing, An introduction to invariant imbedding

Papanicolaou, George C.

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p. 1044-1045

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Review: K. H. Hofmann and P. S. Mostert, Cohomology theories for compact abelian groups

Taylor, Joseph L.

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p. 1045-1049

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Elections to membership

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p. 1050-1052

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The April meeting in St. Louis

Pitcher, Everett ; Bateman, Paul T.

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p. 1055-1059

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Lie groups with completely continuous representations

Pukanszky, L.

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p. 1061-1063

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Absolute continuity and weak compactness

Niculescu, Constantin

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p. 1064-1066

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On the classification of taut submanifolds

Freedman, Michael

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p. 1067-1068

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On holomorphic representations of symplectic groups

Ton-That, Tuong

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p. 1069-1072

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Novikov's ${\text{Ext}}^2$ and the nontriviality of the gamma family

Miller, Haynes R. ; Ravenel, Douglas C. ; Wilson, W. Stephen

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p. 1073-1075

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The approach of solutions of nonlinear diffusion equations to travelling wave solutions

Fife, Paul C. ; McLeod, J. B.

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p. 1076-1078

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Some invariants of generic immersions and their geometric applications

Poénaru, V.

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p. 1079-1082

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Joint spectrum in the Calkin algebra

Dash, A. T.

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p. 1083-1085

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Rotundity, orthogonality, and characterizations of inner product spaces

Holub, J. R.

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p. 1087-1089

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Classification of automorphisms of hyperfinite factors of type ${\text{II}}_1$ and ${\text{II}}_\infty$ and application to type ${\text{III}}$ factors

Connes, A.

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p. 1090-1092

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The structure of singularities in area-related variational problems with constraints

Taylor, Jean E.

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p. 1093-1095

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An $L^1$-space for Boolean algebras and semireflexivity of $L^\infty \left({{X},\Sigma ,\mu}\right)$

Sentilles, Dennis

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p. 1096-1098

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Adjoint semigroup theory for a Volterra integrodifferential system

Burns, J. A. ; Herdman, T. L.

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p. 1099-1102

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The antipode of a finite-dimensional Hopf algebra over a field has finite order

Radford, David E.

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p. 1103-1105

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Duality for crossed products of von Neumann algebras by locally compact groups

Nakagami, Yoshiomi

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p. 1106-1108

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Hyperbolic equations and group representations

Ehrenpreis, Leon

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p. 1109-1111

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Approximate functional complexity

Buck, R. C.

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p. 1112-1114

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The $Q$-matrix problem for Markov chains

Williams, David

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p. 1115-1118

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Operator algebras and algebraic $K$-theory

Brown, Lawrence G.

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p. 1119-1121

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Quadratic forms and similarities

Shapiro, Daniel B.

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p. 1122-1124

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Stability of equivariant smooth maps

Poénaru, V.

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p. 1125-1126

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A computing method for bifurcation boughs of nonlinear eigenvalue problems

Lozi, René

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p. 1127-1129

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Invariance principle for modified wave operators

Chandler, Colston ; Gibson, A. G.

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p. 1130-1132

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The holomorphic Lefschetz formula

Toledo, Domingo ; Tong, Yue Lin L.

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p. 1133-1135

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Bylaws of the American Mathematical Society

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p. 1137-1143

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Endowment fund and prize funds

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p. 1144-1149

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Officers and lecturers of the Society

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p. 1150-1151

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Index to volume 81

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p. 1153-1162

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