Sommaire du Fascicule no. 6

Erratum, Volume 70

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The November meeting in Atlanta

Curtis, M. L.

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The November meeting in Madison

Youngs, J. W. T.

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Council and board of trustees—1963

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Addendum to “Structure of hereditary orders”

Brumer, Armand

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The February meeting in New York

Pitcher, Everett

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Errata

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Correction to “A complex of problems proposed by post”

Singletary, Wilson E.

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The October meeting in New York

Pitcher, Everett

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Erratum, volume 69

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The April meeting in Reno

Pierce, R. S.

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Jordan algebras of degree 1

McCrimmon, K.

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The June meeting in Pullman

Pierce, R. S.

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Research Problems

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On semigroups in analysis and geometry

Loewner, Charles

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p. 1-15

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An algebraic model of transitive differential geometry

Guillemin, Victor W. ; Sternberg, Shlomo

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p. 16-47

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Fourier series in several variables

Shapiro, Victor L.

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p. 48-93

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Book Reviews

Treves, F.

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p. 94-96

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Analytic functions and Dirichlet problem

Lumer, G.

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p. 98-104

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A complex of problems proposed by Post

Singletary, Wilson E.

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p. 105-109

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A proof of the Corona conjecture for finite open Riemann surfaces

Alling, Norman L.

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p. 110-112

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Operations on binary relations and their applications

Tamura, T.

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p. 113-120

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Representing measures for points in a uniform algebra

Bishop, Errett

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p. 121-122

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Note on linear difference equations

Harris, W. A. ; Sibuya, Y.

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p. 123-127

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Weighted trigonometrical approximation on $R^1$ with application to the germ field of a stationary Gaussian process

Levinson, N. ; McKean, H. P.

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p. 128-129

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Scattering theory

Lax, Peter D. ; Phillips, Ralph S.

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p. 130-142

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Spline interpolation and best quadrature formulae

Schoenberg, I. J.

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p. 143-148

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The domain of dependence inequality for symmetric hyperbolic systems

Wilcox, Calvin H.

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p. 149-154

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Infinite-dimensional irreducible representations of compact semi-simple groups

Segal, I. E.

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p. 155-160

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The dimension of the support of a random distribution function

Kinney, J. R. ; Pitcher, T. S.

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p. 161-164

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A generalized Morse theory

Palais, R. S. ; Smale, S.

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p. 165-172

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On the solutions of the wave equation in a quadrant of $R^4$

Chen, Y. W.

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p. 172-177

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Deformations of riemannian structures

Srinivasacharyulu, K.

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p. 178-180

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On the best approximation for singular integrals by Laplace-transform methods

Berens, Hubert ; Butzer, P. L.

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p. 180-184

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Convergence of sequences of convex sets, cones and functions

Wijsman, R. A

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p. 186-188

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Duality theorems for convex functions

Rockafellar, R. T.

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p. 189-192

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On the lifting property. III

Tulcea, A. Ionescu ; Tulcea, C. Ionescu

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p. 193-197

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Lacunary Taylor and Fourier series

Kahane, J.-P.

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p. 199-213

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New and old problems for entire functions

de Branges, Louis

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p. 214-223

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Review: A. Rényi, Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie

Chung, Kai Lai

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p. 224-225

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Review: Serge Lang, Introduction to differentiable manifolds

Abraham, Ralph

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p. 225-227

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Review: S. Helgason, Differential geometry and symmetric spaces

Auslander, Louis

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p. 227-229

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Review: Walter Rudin, Fourier analysis on groups

Kahane, J.-P.

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p. 230-232

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Review: Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry

Hermann, Robert

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p. 232-235

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Review: R. H. Crowell and R. H. Fox, Introduction to knot theory

Neuwirth, Lee P.

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p. 235-238

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The November meeting in Pasadena

Pierce, R. S.

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p. 240-241

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On Floquet's theorem in Hilbert spaces

Schäffer, Juan Jorge

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p. 243-245

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A complete classification of the $\Delta _2^1$-functions

Suzuki, Yoshindo

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p. 246-253

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The Wiener integral and perturbation theory of the Schrödinger operator

Babbitt, Donald

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p. 254-259

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Distribution modulo 1 and sets of uniqueness

Kahane, J.-P. ; Salem, R.

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p. 259-261

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On heights in number fields

Schanuel, S.

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p. 262-263

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Differential equations in which the Poisson process plays a role

Kaplan, Stanley

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p. 264-268

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An obstruction to finiteness of $CW$-complexes

Wall, C. T. C.

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p. 269-270

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Variation diminishing transformations

Haimo, Deborah Tepper

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p. 271-274

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A problem in partitions related to the Stirling numbers

Carlitz, L.

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p. 275-278

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On the number of closed geodesics on a riemannian manifold

Klingenberg, Wilhelm

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p. 279-282

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Residual nilpotence and relations in free groups

Baumslag, Gilbert ; Steinberg, Arthur

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p. 283-284

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A locally compact separable metric space is almost invariant under a closed mapping

Duda, Edwin

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p. 285-286

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Averages of continuous functions on countable spaces

Henriksen, Melvin ; Isbell, J. R.

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p. 287-290

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On the real parts of zeros of exponential polynomials

Krall, Allan M.

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p. 291-292

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The group of homotopy equivalences of a space

Arkowitz, M. ; Curjel, C. R.

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p. 293-296

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On ordinals

Quine, W. V. ; Wang, Hao

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p. 297-298

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Nonlinear elliptic problems. II

Browder, Felix E.

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p. 299-302

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Rate of growth of Hurwitz entire functions and integer valued entire functions

Sato, Daihachiro ; Straus, Ernst G.

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p. 303-307

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Inequalities for general matrix functions

Marcus, Marvin ; Minc, Henryk

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p. 308-313

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A note on the adjoint of a perturbed operator

Beals, R. W.

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p. 314-315

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Classification of operators by means of the operational calculus

Kantorovitz, Shmuel

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p. 316-320

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Essential boundary points

Rudin, Walter

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p. 321-324

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On the relative theory of Tamagawa numbers

Ono, Takashi

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p. 325-326

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Review: Saunders MacLane, Homology

Buchsbaum, David A.

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p. 329-331

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Review: Louis Auslander and Robert E. MacKenzie, Introduction to differentiable manifolds

Hermann, Robert

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p. 331-333

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Review: S. Wylie and P. J. Hilton, Homology theory. An introduction to algebraic topology

Massey, W. S.

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p. 333-335

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Review: Vito Volterra, Opere mathematiche. Memorie e Note

Weinstein, A.

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p. 335-337

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Research problems

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p. 338-342

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The Annual meeting in Miami

Green, John W. ; Curtis, Morton L.

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p. 343-356

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Groups with a Bruhat decomposition

Curtis, Charles W.

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p. 357-360

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On the group ${\mathcal E}\left[ X \right]$ of homotopy equivalence maps

Shih, Weishu

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p. 361-365

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Ergodic properties of isometries in $L^p$ spaces $1 < p < \infty$

Tulcea, A. Ionescu

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p. 366-371

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Some curious involutions of spheres

Hirsch, Morris W. ; Milnor, John

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p. 372-377

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Tensor product analysis of partial difference equations

Lynch, R. E. ; Rice, J. R. ; Thomas, D. H.

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p. 378-384

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Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$

Bass, H. ; Lazard, M. ; Serre, J-P.

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p. 385-392

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On the reduction theory of von Neumann

Sakai, Shôichirô

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p. 393-398

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The equivalence, for varieties of semigroups, of two properties concerning congruence relations

Tully, E. J.

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p. 399-400

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A theorem on filtered Lie algebras and its applications

Kobayashi, Shoshichi ; Nagano, Tadashi

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p. 401-403

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Irreducible graphs

youngs, J. W. T.

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p. 404-405

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Cohomology and deformations of algebraic structures

Nijenhuis, Albert ; Richardson, R. W.

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p. 406-411

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Invariant domains for Kleinian groups

Accola, R.

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p. 412-413

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Differentiable norms in Banach spaces

Restrepo, Guillermo

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p. 413-414

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Locally flat strings

Greathouse, Charles

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p. 415-418

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Some theorems on bounded holomorphic functions

Stout, E. L.

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p. 419-421

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A generalization of Morse-Smale inequalities

Rosenberg, Harold

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p. 422-427

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Cohomology of cyclic groups of prime square order

Parr, J. T.

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p. 427-428

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The stable structure of quite general linear groups

Bass, Hyman

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p. 429-433

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A duality in integral geometry; some generalizations of the Radon transform

Helgason, Sigurdur

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p. 435-446

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Harmonic analysis and the theory of cochains

Shapiro, Victor L.

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p. 447-467

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What the bees know and what they do not know

Tóth, L. Fejes

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p. 468-481

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Review: D. B. A. Epstein, Cohomology operations

Szczarba, R. H.

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p. 482-483

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Review: Harley Flanders, Differential forms with applications to the physical sciences

Hermann, Robert

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p. 483-487

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Review: Jean-Pierre Kahane and Raphael Salem, Ensembles parfaits et séries trigonométriques, and Rapael Salem, Algebraic numbers and Fourier analysis

Rudin, Walter

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p. 487-490

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Review: T. H. Hildebrandt, Introduction to the theory of integration

Hewitt, Edwin

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p. 490-491

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Review: Serge Lang, Diophantine geometry

Mordell, L. J.

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p. 491-498

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Research Problems

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p. 499-501

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The April meeting in New York

Pitcher, Everett

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p. 502-503

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The April meeting in Chicago

Green, John W. ; Sherman, Seymour

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p. 503-507

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Finite section Wiener-Hopf equations on a compact group with ordered dual

Hirschman, I. I.

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p. 508-510

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The five dimensional polyhedral Schoenflies theorem

Rosen, Ronald H.

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p. 511-516

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Eigenfunction expansions and scattering theory for perturbed elliptic partial differential operators

Greiner, Peter C.

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p. 517-521

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A cohomology theory based upon self-conjugacies of complex vector bundles

Green, Paul S.

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p. 522-524

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On bounding harmonic functions by linear interpolation

Weinberger, H. F.

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p. 525-529

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A note on the fundamental theory of ordinary differential equations

Sell, George R.

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p. 529-535

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Norm decreasing homomorphisms of group algebras

Greenleaf, Frederick P.

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p. 536-539

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Recurrent random walks with arbitrarily large steps

Shepp, L. A.

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p. 540-542

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Double Loops and ternary rings

Wilker, Peter

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p. 543-547

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Demicontinuity, hemicontinuity and monotonicity

Kato, Tosio

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p. 548-550

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Continuity properties of monotone nonlinear operators in Banach spaces

Browder, Felix E.

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p. 551-553

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On the local behavior of the rational Tschebyscheff operator

Werner, Helmut

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p. 554-555

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On a stationary approach to scattering problem

Kuroda, S. T.

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p. 556-560

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On the Galois theory of inseparable extensions

Gerstenhaber, Murray

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p. 561-566

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A sparse regular sequence of exponentials closed on large sets

Landau, H. J.

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p. 566-569

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The notion of dimension in the theory of algebraic differential equations

Kolchin, E. R.

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p. 570-573

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Periodic maps which preserve a complex structure

Conner, P. E. ; Floyd, E. E.

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p. 574-579

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Cross-sections of solution funnels

Pugh, Charles C.

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p. 580-583

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The closing lemma and structural stability

Pugh, Charles C.

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p. 584-587

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On the compactification of arithmetically defined quotients of bounded symmetric domains

Baily, W. L. ; Borel, A.

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p. 588-593

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On the symmetry of convex bodies

Chakerian, G. D. ; Stein, S. K.

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p. 594-595

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A two-dimensional singular integral equation of diffraction theory

Radlow, James

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p. 596-599

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The geometry of immersions. II

Feldman, E. A.

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p. 600-607

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The real values of an entire function

Hellerstein, S. ; Korevaar, J.

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p. 608-610

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Decomposition of Riemannian manifolds

Wu, H.

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p. 610-617

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On the thickness of the complete graph

Beineke, Lowell W. ; Harary, Frank

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p. 618-620

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Irreducible semigroups

Hofmann, K. H. ; Mostert, P. S.

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p. 621-627

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The recursive equivalence type of a class of sets

Dekker, J. C. E.

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p. 628-632

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An example of slow decay of the solution of the initial-boundary value problem for the wave equation in unbounded regions

Zachmanoglou, E. C.

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p. 633-636

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On inequalities of weak type

Sawyer, S.

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p. 637-641

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A strict maximum theorem for one-part function spaces and algebras

Bear, H. S.

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p. 642-643

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On cardinalities of ultraproducts

Keisler, H. Jerome

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p. 644-647

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Review: L. Auslander, L. Green and F. Hahn, Flows on homogeneous spaces

Gottschalk, Walter H.

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p. 649-653

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Review: A. E. Gelfond and U. V. Linnik, Elementary methods in analytic number theory

Mordell, L. J.

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p. 653-658

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Review: A. O. Barut, Electrodynamics and classical theory of fields and particles

Hermann, Robert

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p. 658-660

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Report of the treasurer

Meder, Albert E.

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p. 662-664

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Multipliers of $p$-integrable functions

Figà-Talamanca, Alessandro

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p. 666-669

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The ${\text{SU}}$-bordism theory

Conner, P. E. ; Floyd, E. E.

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p. 670-675

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A note on approximation by Bernstein polynomials

Bajšanski, B. ; Bojanić, R.

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p. 675-677

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On the unknottedness of the fixed point set of differentiable circle group actions on spheres—P. A. Smith conjecture

Hsiang, Wu-Yi

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p. 678-680

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Incidence matrices with the consecutive 1's property

Fulkerson, D. R. ; Gross, O. A.

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p. 681-684

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On two classical results of I. Schur

Marcus, Marvin

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p. 685-688

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Approximation theorems for semi-group operators in intermediate spaces

Berens, Hubert ; Butzer, P. L.

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p. 689-692

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Nonlocal elliptic boundary value problems

Beals, Richard

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p. 693-696

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Herbrand analyzing functions

Dreben, Burton ; Aanderaa, Stål

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p. 697-698

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The Teichmüller space of an arbitrary Fuchsian group

Earle, Clifford J.

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p. 699-701

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A sharp form of the Virial theorem

Pollard, Harry

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p. 703-705

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Taming Cantor sets in $E^n$

McMillan, D. R.

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p. 706-708

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Convex programming in Hilbert space

Goldstein, A. A.

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p. 709-710

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Minimal sets and Ergodic measures in $\beta N - N$

Raimi, Ralph A.

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p. 711-712

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Homogeneous nonnegative symmetric quadratic transformations

Blakley, G. R.

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p. 712-715

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The equivalence of the annulus conjecture and the slab conjecture

Greathouse, Charles

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p. 716-717

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The existence of invariant subspaces

de Branges, Louis ; Rovnyak, James

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p. 718-721

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Sets of uniqueness for some classes of trigonometrical series

Katznelson, Y.

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p. 722-723

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Injective envelopes of Banach spaces

Cohen, Henry B.

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p. 723-726

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Injective envelopes of Banach spaces are rigidly attached

Isbell, J. R.

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p. 727-729

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Noetherian simple rings

Faith, Carl

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p. 730-731

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An approach to quasilinear elliptic problems

Hurd, A. E. ; Schubert, C. F.

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p. 732-736

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In-groups and imbeddings of $n$-complexes in $\left( {n +1} \right)$-manifolds

Neuwirth, Lee

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p. 737-738

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A priori estimates in several complex variables

Kohn, J. J.

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p. 739-745

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Research Problems

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p. 746-747

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The summer meeting in Amherst

Green, John W. ; Pitcher, Everett

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p. 748-755

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Contractibility of certain semigroups

Gottlieb, D. H. ; Rothman, N. J.

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p. 756-757

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The metastable homotopy of $O\left( n \right)$

Barratt, M. G. ; Mahowald, M. E.

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p. 758-760

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Holomorphic convexity of Teichmüller spaces

Bers, Lipman ; Ehrenpreis, Leon

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p. 761-764

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Totally ordered $D$-class decompositions

Hofmann, K. H. ; Mostert, P. S.

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p. 765-771

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On normal metrics, and a theorem of Cohn-Vossen

Finn, Robert

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p. 772-773

Project Euclid
A simple proof of the theorem of P. J. Cohen

Itô, Takashi ; Amemiya, Ichiro

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p. 774-776

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Some results concerning completely 0-simple semigroups

Lallement, Gérard ; Petrich, Mario

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p. 777-778

Project Euclid
Structure theorem for commutators of operators

Brown, Arlen ; Pearcy, Carl

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p. 779-780

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The closure of the numerical range contains the spectrum

Zarantonello, Eduardo H.

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p. 781-787

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A note on isomorphisms of $C^*$-algebras

Gardner, L. Terrell

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p. 788-791

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On almost periodic differential equations

Miller, Richard K.

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p. 792-795

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Ordinary means imply recurrent means

Chacon, R. V.

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p. 796-797

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The Dirichlet problem for homogeneous elliptic operators in a half space

Barros-Neto, J.

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p. 798-802

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An extension of the Marcinkiewicz interpolation theorem to Lorentz spaces

Hunt, Richard A.

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p. 803-807

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Some new results in definability

Chang, C. C.

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p. 808-813

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Combinatory recursive objects of all finite types

Curry, Haskell B.

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p. 814-817

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Cobordism classes of squares of orientable manifolds

Anderson, Peter G.

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p. 818-819

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An explicit inversion formula for finite-section Wiener-Hopf operators

Baxter, Glen ; Hirschman, I. I.

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p. 820-823

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The smallest graph of girth 5 and valency 4

Robertson, Neil

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p. 824-825

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Officers and lecturers of the Society

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p. 827-828

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Endowment fund and special funds

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p. 829-832

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By-laws of the American Mathematical Society

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p. 833-840

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Index to volume 70

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p. 842-848

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