Sommaire du Fascicule no. 1

Betti numbers of $3$ -fold symmetric products; a correction: “On the homology characters of symmetric products,” vol. 1 (1935), pp. 50–69

Richardson, M.

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Sums of squares of polynomials

Carlitz, Leonard

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p. 1-7

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The degrees of the irreducible components of simply transitive permutation groups

Frame, J. Sutherland

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p. 8-17

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Stresses in moderately thick rectangular plates

Higdon, R. Archie ; Holl, D. L.

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p. 18-34

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On matrices of integers and combinatorial topology

Whitney, Hassler

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p. 35-45

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On the maps of an $n$ -sphere into another $n$ -sphere

Whitney, Hassler

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p. 46-50

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The maps of an $n$ -complex into an $n$ -sphere

Whitney, Hassler

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p. 51-55

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On the extreme points of convex sets

Price, G. Baley

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p. 56-67

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Abelian groups without elements of finite order

Baer, Reinhold

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p. 68-122

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Solution of a problem of F. Riesz on the harmonic majorants of subharmonic functions

Radó, Tibor

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p. 123-132

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Summability of double Fourier series

Gergen, J. J.

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p. 133-148

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Structures and group theory. I

Ore, Oystein

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p. 149-174

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A class of linear groups with integral coefficients

Coble, Arthur B.

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p. 175-199

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Commutator algebra of a finite group of collineations

Weyl, Hermann

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p. 200-212

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Taylor’s series of entire functions of smooth growth

Wiener, N. ; Martin, W. T.

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p. 213-223

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Summability of conjugate derived series

Randels, W. C.

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p. 224-227

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Orthogonal polynomials on a plane curve

Jackson, Dunham

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p. 228-236

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The classes of integral sets in a quaternion algebra

Latimer, Claiborne G.

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p. 237-247

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The ergodic function of Birkhoff

Martin, Monroe H.

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p. 248-278

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Note on the simultaneous orthogonality of harmonic polynomials on several curves

Walsh, J. L. ; Merriman, G. M.

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p. 279-288

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Certain ternary cubic arithmetical forms

Bell, E. T.

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p. 289-293

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Elementary proofs of some known theorems of the theory of complex Euclidean spaces

Stone, M. H. ; Tamarkin, J. D.

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p. 294-302

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The structure of certain rational infinite algebras

Schilling, Otto F. G.

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p. 303-310

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An extended arithmetic

Birkhoff, Garrett

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p. 311-316

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The imbedding of Riemann spaces in the large

Allendoerfer, Carl B.

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p. 317-333

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Remark on the theorem of Green

Bochner, S.

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p. 334-338

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Analytic mapping of compact Riemann spaces into Euclidean space

Bochner, S.

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p. 339-354

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Polar correspondence with respect to a convex region

John, Fritz

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p. 355-369

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Interior transformations on compact sets

Whyburn, G. T.

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p. 370-381

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The expansion theory of ordinary differential systems of the first order

Langer, Rudolph E.

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p. 383-393

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Transformation of differential equations in the neighborhood of singular points

Lubin, C. I.

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p. 394-417

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The minima of functionals with associated side conditions

Goldstine, Herman H.

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p. 418-425

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On the zeros of Jacobi polynomials, with applications

Webster, M. S.

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p. 426-442

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Rings of sets

Birkhoff, Garrett

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p. 443-454

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A representation of generalized Boolean rings

McCoy, N. H. ; Montgomery, Deane

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p. 455-459

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A structural characterization of planar combinatorial graphs

Mac Lane, Saunders

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p. 460-472

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Critical curvatures in Riemannian spaces

Brown, Arthur B.

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p. 473-483

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The characteristic roots of a matrix

Parker, W. V.

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p. 484-487

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Completely monotone functions of the Laplace operator for torus and sphere

Bochner, S.

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p. 488-502

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An analogue of the von Staudt-Clausen theorem

Carlitz, Leonard

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p. 503-517

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Sums of values of a polynomial multiplied by constants

Ghent, Kenneth S.

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p. 518-528

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Trigonometric approximation in the mean

Quade, E. S.

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p. 529-543

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A note on non-associative algebras

Jacobson, N.

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p. 544-548

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The inversion problem of Möbius

Hille, Einar

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p. 549-568

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On Bernoulli’s numbers and Fermat’s last theorem

Vandiver, H. S.

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p. 569-584

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On the necessary conditions for the minimum of a double integral

Coral, Max

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p. 585-592

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Concerning Appell sets and associated linear functional equations

Sheffer, I. M.

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p. 593-609

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Uniformity properties in topological space satisfying the first denumerability postulate

Cohen, L. W.

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p. 610-615

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Solutions of systems of differential equations in terms of infinite series of definite integrals

Pierce, Jesse

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p. 616-622

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Non- $n$ -alternating transformations

Hall, D. W. ; Schweigert, G. E.

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p. 623-626

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Residuation in structures over which a multiplication is defined

Ward, Morgan

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p. 627-636

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Asymptotic relations for derivatives

Boas, Jr., R. P.

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p. 637-646

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Tauberian theorems related to Borel and Abel summability

Kales, Morris L.

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p. 647-666

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Asymptotic expressions for the zeros of generalized Laguerre polynomials and Weber functions

Spencer, Vivian Eberle

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p. 667-675

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Remarks on the problem of Plateau

Beckenbach, E. F.

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p. 676-681

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Analytic functions of absolutely convergent generalized trigonometric sums

Cameron, R. H.

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p. 682-688

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Transformations on sequence spaces

Cohen, L. W. ; Dunford, Nelson

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p. 689-701

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On perfect methods of summability

Hill, J. D.

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p. 702-714

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Quasi-unitary matrices

Williamson, John

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p. 715-725

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Stable laws of probability and completely monotone functions

Bochner, S.

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p. 726-728

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On some generalizations of a theorem of A. Markoff

Hille, Einar ; Szegö, G. ; Tamarkin, J. D.

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p. 729-739

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$(n-1)$ -dimensional characteristic strips of a first order equation and Cauchy’s problem

Titt, E. W.

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p. 740-746

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Theorems on Fourier series and power series

Pitt, H. R.

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p. 747-755

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