Sommaire du Fascicule no. 1

Errata: “Bernoulli and Euler numbers and orthogonal polynomials,” vol. 26 (1959), pp. 1–15

Carlitz, L.

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Errata: “An extension of E. Hopf’s maximum principle with an application to Riemannian geometry,” vol. 25 (1958), pp. 45–56

Calabi, E.

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Errata: Polynomial $3$ -cocycles over fields of characteristic $p$ ,” vol. 26 (1959), pp. 269–275

Heaton, Robert

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Errata: “The square root set of a simple basic set of polynomials, vol. 25 (1958), pp. 177–180

Mikhail, M. N.

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Bernoulli and Euler numbers and orthogonal polynomials

Carlitz, L.

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p. 1-15

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On Banach’s generalized limits

Raimi, Ralph A.

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p. 17-28

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On the group of the composition of two graphs

Harary, Frank

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p. 29-34

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Basic sets of polynomials for the iterated Laplace and wave equations

Miles, Jr., E. P. ; Williams, Ernest

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p. 35-40

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Completion of semi-continuous ordered commutative semigroups

Clifford, A. H.

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p. 41-59

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On the minimum of the permanent of a doubly stochastic matrix

Marcus, Marvin ; Newman, Morris

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p. 61-72

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Dirichlet multiplication in lattice point problems

Tull, J. P.

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p. 73-80

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Irreducible sextic congruences

Hanneken, C. B.

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p. 81-93

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Invariant subspaces of a normal operator

Scroggs, James E.

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p. 95-111

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On tree-like continua and irreducibility

Rosen, Ronald H.

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p. 113-122

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Integrability of Fourier transforms for unimodular Lie groups

Stinespring, W. Forrest

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p. 123-131

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Converse forms of the Hadamard product theorem

Buck, R. C.

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p. 133-136

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Nondegenerate surfaces and fine-cyclic surfaces

Fleming, W. H.

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p. 137-146

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On the coincidence of Geöcze and Lebesgue areas

Cesari, L. ; Neugebauer, Ch. J.

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p. 147-153

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All linear operators leaving the unitary group invariant

Marcus, Marvin

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p. 155-163

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Representations of even functions $(\mod r)$ , II. Cauchy products

Cohen, Eckford

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p. 165-182

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The Laplace-Stieltjes transform of vector-valued functions

Zaidman, Samuel

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p. 183-188

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On the representation of vector-valued functions by Laplace transforms

Zaidman, S.

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p. 189-191

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Linear congruences and the Von Sterneck function

Nicol, C. A.

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p. 193-197

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Factorization in group algebras

Cohen, Paul J.

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p. 199-205

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A class of integral identities with matrix argument

Olkin, Ingram

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p. 207-213

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Weak almost periodic functions and Fourier-Stieltjes transforms

Rudin, Walter

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p. 215-220

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On multiplier transformations

Hirschman, Jr., I. I.

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p. 221-242

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Concerning a certain collection of spirals in the plane

Armentrout, Steve

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p. 243-250

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Note to Poincaré’s perturbation method

Cronin, Jane

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p. 251-262

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A wild triod in three-space

Doyle, Patrick H.

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p. 263-267

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Polynomial $3$ -cocycles over fields of characteristic $p$

Heaton, Robert

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p. 269-275

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Local contractions and the size of a compact metric space

Williams, R. F.

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p. 277-289

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On a generalization of the Schauder fixed point theorem

Browder, Felix E.

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p. 291-303

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Approximation by polynomials with integral coefficients, a reformulation of the Stone-Weierstrass theorem

Hewitt, Edwin ; Zuckerman, Herbert S.

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p. 305-324

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Series-parallel graphs and lattices

Elgot, Calvin C. ; Wright, Jesse B.

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p. 325-338

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An approximate solution of an improper boundary value problem

Douglas, Jr., Jim ; Gallie, Jr., T. M.

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p. 339-347

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Some identities and inequalities involving ultraspherical polynomials

Danese, Arthur E.

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p. 349-359

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Coefficient problems for functions regular in an ellipse

Royster, W. C.

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p. 361-371

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On generalized ellipses

Hartman, Philip ; Valentine, Frederick A.

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p. 373-385

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Isotopy in $3$ -manifolds. II. Fitting homeomorphisms by isotopy

Sanderson, D. E.

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p. 387-396

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Some Stone spaces and recursion theory

Nerode, A.

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p. 397-406

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A property of entire functions of small order and finite type

Rahman, Q. I.

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p. 407-408

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On the logarithmic mean convergence and the representation of the regular functions in the unit circle

Tanaka, Chuji

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p. 409-417

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On the application of MacMahon diagrams to certain problems in the multiplication of monomial symmetric functions

Levine, Jack

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p. 419-436

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Bernoulli numbers and Bessel polynomials

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

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p. 437-445

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The representation of monadic Boolean algebras

Halmos, Paul R.

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p. 447-454

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An inverse Sturm-Liouville problem

Martin, Allan D.

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p. 455-465

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The values of certain sets of modules

Foos, S.S.J., Sister Barbara Ann

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p. 467-484

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Representation theorems and inequalities for Hermitian matrices

Bellman, Richard

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p. 485-490

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Representations of even functions $(\mod r)$ . III. Special topics

Cohen, Eckford

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p. 491-500

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Measures induced on a $\sigma$ -algebra by a surface

Turner, L. H.

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p. 501-509

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Tree-like continua and quasi-complexes

Chamberlin, R. E.

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p. 511-517

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Some functions related to the Bessel polynomials

Al-Salam, Waleed A.

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p. 519-539

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Functions with positive real part and Schlicht functions

Bernardi, S. D.

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p. 541-548

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A theorem on the measurability of group-invariant operators

Segal, I. E.

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p. 549-552

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The vanishing of the homogeneous product sum of the roots of a cubic

Ward, Morgan

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p. 553-562

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Relations among the minors of a matrix with dominant principal diagonal

Brenner, J. L.

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p. 563-567

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The numbers generated by ${\rm exp}({\rm arctan} x)$

Kelisky, Richard

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p. 569-581

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Some arithmetic properties of a special sequence of polynomials

Carlitz, L.

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p. 583-590

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Expansions in series of homogeneous polynomial solutions of the two-dimensional wave equation

Widder, D. V.

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p. 591-598

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Expansions in series of homogeneous polynomial solutions of the general two-dimensional linear partial differential equation of the second order with constant coefficients

Widder, D. V.

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p. 599-603

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The analogue for maximally convergent polynomials of Jentzsch’s theorem

Walsh, J. L.

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p. 605-616

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Positive definite sequences and absolutely monotonic functions

Rudin, Walter

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p. 617-622

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Characteristically nilpotent Lie algebras

Leger, G. ; Tôgô, S.

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p. 623-628

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Concerning the Hausdorff inclusion problem

Wells, J. H.

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p. 629-645

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A theorem on semi-continuous set-valued functions

Michael, E.

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p. 647-651

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The greatest distance between two characteristic roots of a matrix

Brauer, Alfred ; Mewborn, A. C.

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p. 653-661

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Investigation concerning positive definite continued fractions

MacNerney, J. S.

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p. 663-677

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Inequalities among some real modular functions

Flor, Peter

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p. 679-682

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The denseness of the extreme points of the generalized resolvents of a symmetric operator

Gilbert, Richard C.

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p. 683-691

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The composition of graphs

Sabidussi, Gert

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p. 693-696

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Correction to “Kernel functions and eigenfunction expansions”

Nelson, Edward

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p. 697-698

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On fiber homotopy equivalence

Fadell, Edward

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p. 699-706

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