Sommaire du Fascicule no. 1

A correction: “A cohomological definition of dimension for locally compact Hausdorff spaces,” vol. 21 (1954), pp. 209–224

Cohen, Haskell

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Congruence properties of the classical orthogonal polynomials

Al-Salam, W. A. ; Carlitz, L.

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p. 1-9

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Retracts from neighborhood retracts

Strother, W. L. ; Ward, Jr., L. E.

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p. 11-14

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Kernel functions and eigenfunction expansions

Nelson, Edward

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p. 15-27

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Stirling numbers of the second kind

Moser, L. ; Wyman, M.

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p. 29-43

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An extension of E. Hopf’s maximum principle with an application to Riemannian geometry

Calabi, E.

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p. 45-56

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Hölder continuity and non-linear elliptic partial differential equations

Hartman, Philip

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p. 57-65

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Proof of a conjecture of Grosswald

Bateman, Paul T.

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p. 67-72

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A generalization of Lommel polynomials

Chak, A. M.

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p. 73-82

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Some properties of compactifications

Henriksen, Melvin ; Isbell, J. R.

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p. 83-105

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A characterization of the classical groups

Kostant, Bertram

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p. 107-123

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The harmonic summation of the derived Fourier series

Rath, P. C.

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p. 125-130

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Spectral invariance of convolution operators on $L^p(-\infty,\infty)$

Krabbe, G. L.

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p. 131-141

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Local operators on Fourier transforms

de Branges, Louis

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p. 143-153

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Congruence properties of the solutions of certain difference equations

Johnson, Jr., J. Robert

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p. 155-170

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Series of Legendre and Laguerre polynomials

Cowling, V. F.

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p. 171-176

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The square root set of a simple basic set of polynomials

Mikhail, M. N.

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p. 177-180

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Transforms of Tauberian series by Riesz methods of different orders

Tenenbaum, Morris

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p. 181-191

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Almost completely convex functions

Boas, Jr., R. P.

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p. 193-195

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Averages of continuous functions on compact spaces

Rudin, Walter

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p. 197-204

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Topological lattices and $n$ -cells

Anderson, Lee W.

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p. 205-208

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Difference equations of polyharmonic type

Duffin, R. J. ; Shelly, E. P.

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p. 209-238

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Fundamental solutions of a linear ordinary differential equation of the third order in the neighborhood of a simple second order turning point

Bragg, L. R.

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p. 239-264

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The topology of compact convergence on continuous function spaces

Warner, Seth

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p. 265-282

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The structure of certain measures

Bishop, Errett

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p. 283-289

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Scalar polynomial equations for matrices over a finite field

Hodges, John H.

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p. 291-296

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Extension of functions from dense subspaces

McDowell, Robert H.

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p. 297-304

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Conditions on the realization of prediction by measures

Chover, J.

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p. 305-310

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Some orthogonal functions in several variables related to theta functions

Carlitz, L.

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p. 311-319

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Algebras with unique minimal faithful representations

Wall, Drury W.

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p. 321-329

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A boundary value problem for a singularly perturbed differential equation

Levinson, N.

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p. 331-342

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$q$ -Bernoulli and Euler numbers of higher order

Sharma, A.

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p. 343-353

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Expansions of $q$ -Bernoulli numbers

Carlitz, L.

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p. 355-364

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The continuous transformation ring of biorthogonal bases spaces

Pless, Vera

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p. 365-371

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A note on the behavior of certain automorphic functions and forms near the real axis

Rosen, David

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p. 373-380

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Axioms for local homology theory

Brahana, Thomas R.

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p. 381-399

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Representations of even functions (\mod r$) , Arithmetical identities

Cohen, Eckford

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p. 401-421

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A class of simple games

Isbell, J. R.

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p. 423-439

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Note on circular disks containing the eigenvalues of a matrix

Fan, Ky

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p. 441-445

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Prime ideals in rings of continuous functions. II

Kohls, Carl W.

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p. 447-458

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Inversions of generalized Lambert transforms

Goldberg, Richard R.

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p. 459-476

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Integral inequalities of the Wirtinger type

Beesack, Paul R.

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p. 477-498

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Properties of subharmonic functions in the half-plane

Itô, Jun-Iti

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p. 499-504

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On dendritic sets

Ward, Jr., L. E.

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p. 505-513

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A comparison theorem for Sturmian oscillation numbers of linear systems of second order

Wintner, Aurel

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p. 515-518

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Remark about Wintner’s comparison theorem

Levinson, Norman

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p. 519-520

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Regular mappings and the space of homeomorphisms on a $2$ -manifold

Hamstrom, Mary-Elizabeth ; Dyer, Eldon

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p. 521-531

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On continuity of transition functions

Austin, D. G. ; Blumenthal, R. M. ; Chacon, R. V.

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p. 533-541

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A central limit theorem for $m$ -dependent random variables

Orey, Steven

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p. 543-546

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Functional invariants of a linear homogeneous integro-differential equation

Abian, Smbat ; Barnett, I. A.

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p. 547-552

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Some geometric properties of the spheres in a normed linear space

Fan, Ky ; Glicksberg, Irving

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p. 553-568

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Locally $o$ -convex spaces

Kist, Joseph

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p. 569-582

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Limits for the characteristic roots of a matrix. VII

Brauer, Alfred

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p. 583-590

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The problem of Milloux for functions analytic in an open annulus

Lewis, C. J.

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p. 591-600

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A connected point set in the plane which spirals down on each of its points

Pearson, B. J.

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p. 603-613

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An analogue of Mercer’s theorem

Getoor, R. K.

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p. 615-624

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Note on differentiating Markoff transition functions with stable terminal states

Austin, D. G.

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p. 625-629

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On a theorem of Tschebotareff

Woods, A. C.

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p. 631-637

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Naturally totally ordered compact semigroups

Numakura, Katsumi

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p. 639-645

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On homogeneous Riemannian manifolds

Ambrose, W. ; Singer, I. M.

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p. 647-669

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The adjoint Markoff process

Nelson, Edward

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p. 671-690

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Polynomial cocycles

Heaton, R. ; Whaples, G.

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p. 691-696

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