Sommaire du Fascicule no. 6

Research problem

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The April meeting in Stanford

Pierce, R. S.

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The April meeting in Chicago

Youngs, J. W. T.

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Council and board of trustees—1960

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Review: R. R. Goldberg, Fourier transforms

Rudin, Walter

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Research problems

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The February meeting in New York

Pitcher, Everett

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The generalised Poincaré conjecture

Zeeman, E. C.

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Review: Roman Sikorski, Funkcje Rzeczywiste (Real functions), vol. II

Ulam, Stanislaw

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The November meeting in Nashville

Huff, G. B.

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The November meeting in Pasadena

Pierce, R. S.

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November meeting in Evanston

Youngs, J. W. T.

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Research problems

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A new maximum principle

Redheffer, Raymond

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The October meeting in Worcester

Pitcher, Everett

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Research problem

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Review: J. Aharoni, The special theory of relativity

Schild, Alfred

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Review: W. Meyer-Eppler, Grundlagen und Anwendungen der Informationstheorie

Billingsley, Patrick

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Recent developments in some non-self-adjoint problems of mathematical physics

Dolph, C. L.

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p. 1-69

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Recent progress in ergodic theory

Halmos, Paul R.

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p. 70-80

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Review: B. L. van der Waerden, Algebra

Zelinsky, Daniel

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p. 83-86

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Review: E. J. McShane and T. A. Botts, Real analysis

Olmsted, John M. H.

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p. 86-89

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Review: J. W. S. Cassels, An introduction to the geometry of numbers

Mordell, L. J.

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p. 89-94

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Review: F. R. Gantmacher, The theory of matrices, and F. R. Gantmacher, Applications of the theory of matrices

McLaughlin, Jack

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p. 95-96

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A proof that every Banach space is subreflexive

Bishop, Errett ; Phelps, R. R.

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p. 97-98

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On some functions of Littlewood-Paley and Zygmund

Stein, E. M.

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p. 99-101

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The characterization of functions arising as potentials

Stein, E. M.

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p. 102-104

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Total positivity absorption probabilities and applications

Karlin, Samuel

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p. 105-108

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Differentiable imbeddings

Haefliger, André

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p. 109-112

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Curvature and length

Jerrard, Richard

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p. 113-114

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A family of simple groups associated with the simple lie algebra of type $\left( {F_4 } \right)$

Ree, Rimhak

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p. 115-116

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Knotting manifolds

Zeeman, E. C.

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p. 117-119

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Potentials for denumerable Markov chains

Kemeny, John G. ; Snell, J. Laurie

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p. 120-122

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A theorem on acyclicity

Wallace, A. D.

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p. 123-124

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Spectral operators on locally convex spaces

Ionescu Tulcea, C.

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p. 125-128

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Some Hilbert spaces of entire functions

de Branges, Louis

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p. 129-134

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Dimension of the square of a space

Fáry, I.

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p. 135-137

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On a homomorphism between generalized group algebras

Hausner, Alvin

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p. 138-141

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A remark on Picard's theorem

Carleson, Lennart

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p. 142-144

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Fourier expansions of arithmetical functions

Cohen, Eckford

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p. 145-147

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On a property of functions with non-negative derivatives at the origin and its application

Laha, R. G.

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p. 148-150

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Summability $\left( L \right)$ of Fourier series

Hsiang, Fu Cheng

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p. 150-153

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A new class of spectral operators

Schaefer, H. H.

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p. 154-155

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Proof of Blaschke's sphere conjecture

Green, Leon W.

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p. 156-158

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On the determinants of certain Toeplitz matrices

Mejlbo, Lars C. ; Schmidt, Palle F.

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p. 159-162

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Fixed points of multiple-valued transformations

Fuller, F. B.

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p. 165-169

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Review: Lars V. Ahlfors and Leo Sario, Riemann surfaces

Springer, George

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p. 170-171

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Review: Robert Sauer, Anfangswertprobleme bei partiellen Differentialgleichungen

John, Fritz

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p. 171-172

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A proof of the power series expansion without Cauchy's formula

Porcelli, P. ; Connell, E. H.

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p. 177-181

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On Hecke's functional equation

Chandrasekharan, K. ; Narasimhan, Raghavan

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p. 182-185

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On the ergodic theorem without assumption of positivity

Chacon, R. V.

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p. 186-190

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On the extreme eigenvalues of truncated Toeplitz matrices

Parter, Seymour V.

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p. 191-196

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Simultaneous rational approximations to algebraic numbers

Peck, L. G.

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p. 197-201

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On global solutions for partial differential equations of first order

Dombrowski, Peter

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p. 202-205

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Holomorphic differentials as functions of moduli

Bers, Lipman

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p. 206-210

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On the braid groups of $E^2$ and $S^2$

Fadell, Edward ; Van Buskirk, James

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p. 211-213

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Integration with respect to operator-valued functions

Krabbe, Gregers L.

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p. 214-218

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Concentric tori in the 3-sphere

Edwards, C. H.

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p. 220-222

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The permanent function as an inner product

Marcus, Marvin ; Newman, Morris

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p. 223-224

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Two element generation of the symplectic group

Stanek, P. F. G.

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p. 225-227

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On H. Weyl's character formula

Cartier, P.

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p. 228-230

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The minimum modulus of integral functions of small order

Barry, P. D.

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p. 231-234

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A characterization of discrete solvable matrix groups

Auslander, Louis

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p. 235-236

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The manifold smoothing problem

Cairns, Stewart S.

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p. 237-238

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Review: A. Grothendieck, Éléments de géométrie algébrique

Lang, S.

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p. 239-246

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Review: J. Dieudonné, Foundations of Modern Analysis

Nachbin, Leopoldo

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p. 246-250

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The annual meeting in Washington

Paige, Lowell J. ; Pitcher, Everett ; Green, J. W.

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p. 251-260

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Research problems

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p. 262-263

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Report of the treasurer

Meder, Albert E.

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p. 264-266

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A new class of probability limit theorems

Lamperti, John

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p. 267-269

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Derivations of commutative Banach algebras

Curtis, Philip C.

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p. 271-273

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Slender groups

Nunke, R. J.

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p. 274-275

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Convergence of stochastic processes

Varadarajan, V. S.

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p. 276-280

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A continuous function with two critical points

Kuiper, Nicolaas H.

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p. 281-285

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Topological equivalence of a Banach space with its unit cell

Klee, Victor

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p. 286-290

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Orthogonal groups over local rings

Klingenberg, Wilhelm

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p. 291-297

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Topological dynamics on nilmanifolds

Auslander, L. ; Hahn, F. ; Markus, L.

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p. 298-299

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Report: an examination of a decision procedure

Oglesby, F. C.

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p. 300-304

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On the semigroup of ideal classes in an order of an algebraic number field

Dade, E. C. ; Taussky, O. ; Zassenhaus, H.

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p. 305-308

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Area of discontinuous surfaces

Goffman, Casper

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p. 309-313

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On the prime ideals of smallest norm in an ideal class $\bmod \mathfrak{f}$ of an algebraic number field

Rieger, G. J.

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p. 314-315

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Doctorates conferred in 1960

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p. 316-331

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Review: I. G. Petrovskii, Lectures on the theory of integral equations

Barrett, John H.

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p. 333-334

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Review: Charles E. Rickart, General theory of Banach algebras

Yood, Bertram

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p. 334-336

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Review: A. Ostrowski, Vorlesungen über Differential- und Integralrechnung. Vol 1, Funktionen einer Variablen

Taylor, Angus E.

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p. 336-337

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Review: Lipman Bers, Mathematical aspects of subsonic and transonic gas dynamics

Bergman, Stefan

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p. 337-339

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Review: Ivan Niven and Herbert S. Zuckerman, An introduction to the theory of numbers

Whiteman, A. L.

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p. 339-340

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Review: R. H. Bruck, A survey of binary systems

Kleinfeld, Erwin

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p. 340-342

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Review: K. Borsuk and Wanda Szmielew, Foundations of geometry, Euclidean and Bolyai-Lobachevskian geometry, projective geometry

Freudenthal, Hans

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p. 342-344

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Review: A. E. Taylor, Introduction to functional analysis

James, R. C.

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p. 344-345

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The April meeting in New York

Paige, Lowell ; Pitcher, Everett

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p. 346-352

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Onto inner derivations in division rings

Lazerson, E. E.

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p. 356-358

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On the central limit theorem in $R_k$

Ranga Rao, R.

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p. 359-361

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Equivalence of nearby differentiable actions of a compact group

Palais, Richard S.

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p. 362-364

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The Krull-Schmidt theorem for integral group representations

Reiner, Irving

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p. 365-367

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Inequalities for formally positive integro-differential forms

Smith, K. T.

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p. 368-370

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Boundary value problems for pseudoanalytic functions

Koppelman, Walter

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p. 371-376

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Stable equivalence of differentiable manifolds

Mazur, Barry

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p. 377-384

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A decomposition theory for unitary representations of locally compact groups

Ernest, John

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p. 385-388

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A simple triangulation method for smooth manifolds

Cairns, Stewart S.

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p. 389-390

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A basis for number theory in finite classes

Quine, W. V.

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p. 391-392

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Abstract class formations

Grant, K. ; Whaples, G.

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p. 393-395

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Invariant imbedding and variational principles in transport theory

Bellman, Richard ; Kalaba, Robert ; Wing, G. Milton

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p. 396-399

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Approximation in uniform norm by solutions of elliptic differential equations

Browder, Felix E.

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p. 400-404

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On the Euler characteristic of compact complete locally affine spaces. II

Auslander, Louis

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p. 405-406

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A general Clebsch-Gordan theorem

Steinberg, Robert

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p. 406-407

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Vector fields on spheres

Toda, Hirosi

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p. 408-412

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Compact Kaehler manifolds with positive Ricci tensor

Kobayashi, Shoshichi

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p. 412-413

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Spectra of nilflows

Green, L. W.

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p. 414-415

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A minimal degree less than $0'$

Sacks, Gerald E.

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p. 416-419

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Local connectivity in homeomorphism groups

McCarty, G. S.

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p. 420-421

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On a problem of P. A. Smith

Su, J. C.

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p. 422-424

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An enclosure theorem for eigenvalues

Block, H. D. ; Fuchs, W. H. J.

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p. 425-426

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Modern developments in the geometry of numbers

Zassenhaus, Hans

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p. 427-439

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Review: D. G. Northcott, An introduction to homological algebra

Rosenberg, Alex

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p. 440-442

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Review: B. Segre, Lectures on modern geometry

Freudenthal, Hans

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p. 442-443

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Review: V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations. Parts I and II

Levinson, Norman ; Gottschalk, W. H.

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p. 443-446

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Review: Michel Loève, Probability theory

Doob, J. L.

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p. 446-447

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Review: F. G. Tricomi, Vorlesungen über Orthogonalreihen

Erdélyi, A.

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p. 447-449

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Review: W. Rindler, Special relativity

Schild, Alfred

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p. 449-450

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Review: A. Borel, Seminar on transformation groups

Conner, P. E.

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p. 450-454

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Review: M. L. Cartwright, Integral functions

Korevaar, J.

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p. 454-455

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Research problems

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p. 456-460

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The June meeting in Seattle

Pierce, R. S.

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p. 461-462

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Kennzeichnung $\Gamma $-primer Graphen

Jung, H. A.

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p. 463-464

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Correction to “Spaces of Riemann surfaces as bounded domains”

Bers, Lipman

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p. 465-466

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On continuity of inverse operators

Słowikowski, W.

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p. 467-470

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Examples of periodic maps on Euclidean spaces without fixed points

Kister, J. M.

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p. 471-474

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A class of conformal metrics

Heins, Maurice

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p. 475-478

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A representation of the infinitesimal generator of a diffusion process

Helms, L. L.

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p. 479-482

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An elementary theorem in geometric invariant theory

Mumford, David

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p. 483-487

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The argument of an entire function

Wilf, Herbert S.

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p. 488-489

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Conical singular points of diffeomorphisms

Huebsch, William ; Morse, Marston

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p. 490-493

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Flows on some three dimensional homogeneous spaces

Auslander, L. ; Green, L. ; Hahn, F.

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p. 494-497

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Quotient spaces and the open map theorem

Słowikowski, W.

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p. 498-500

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On a new functional transform in analysis: The maximum transform

Bellman, Richard ; Karush, William

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p. 501-503

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On the existence of invariant measures

Schaerf, Henry M.

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p. 504-506

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A new proof and an extension of Hartog's theorem

Ehrenpreis, Leon

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p. 507-509

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Cartesian products of contractible open manifolds

McMillan, D. R.

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p. 510-514

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Cohomology of maximal ideal spaces

Browder, Andrew

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p. 515-516

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Lie and Jordan structures in simple associative rings

Herstein, I. N.

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p. 517-531

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Review: Robert Schatten, Norm ideals of completely continuous operators

Fan, Ky

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p. 532-533

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Review: R. Nevanlinna, H. Behnke, H. Grauert, L. V. Ahlfors, D. C. Spencer, L. Bers, K. Kodaira, M. Heins and J. A. Jenkins, Analytic functions

Rossi, Hugo

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p. 533-535

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Review: E. J. Hannan, Time series analysis

Rosenblatt, M.

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p. 535-536

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Review: G. L. Watson, Integral quadratic forms

O'Meara, O. T.

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p. 536-538

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Review: Ákos Császár, Fondements de la topologie générale

Gillman, Leonard

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p. 538-542

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The summer meeting in Stillwater

Paige, Lowell J. ; Youngs, J. W. T.

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p. 543-547

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Coverings in free lattices

Dean, Richard A.

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p. 548-549

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Derivations and generations of finite extensions

Faith, Carl

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p. 550-553

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An example in summability

Hayman, W. K. ; Wilansky, Albert

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p. 554-555

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On the eigenvalues of positive operators

Rota, Gian-Carlo

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p. 556-558

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Obstructions to the existence of almost complex structures

Massey, W. S.

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p. 559-564

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Transmission problems in function theory

Koppelman, Walter

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p. 565-570

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Strong ratio limit property

Orey, Steven

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p. 571-574

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The theory of transfinite recursion

Machover, M.

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p. 575-578

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Arithmetic subgroups of algebraic groups

Borel, Armand ; Harish-Chandra

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p. 579-583

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Some properties of adele groups attached to algebraic groups

Borel, Armand

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p. 583-585

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The embedding of two-spheres in the four-sphere

Gluck, Herman

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p. 586-589

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Orientable surfaces in four-space

Gluck, Herman

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p. 590-592

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Analytic continuation of the principal series

Kunze, R. A. ; Stein, E. M.

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p. 593-596

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On the cohomology of two-stage Postnikov systems

Kristensen, Leif

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p. 597-602

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Magnitude of the Fourier coefficients of automorphic forms of negative dimension

Lehner, Joseph

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p. 603-606

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An inequality for linear transformations with eigenvalues

Swanson, C. A.

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p. 607-608

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Index to volume 67

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p. 609-614

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