Sommaire du Fascicule no. 1

$L^2$ -approximation by partial sums of orthogonal developments

Rudin, Walter

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p. 1-4

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Two theorems on schlicht functions

Bernardi, S. D.

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p. 5-21

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The $\mathcal{L}$ -closure of eigenfunctions associated with self-adjoint boundary value problems

Levinson, Norman

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p. 23-26

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The arithmetic of ménage numbers

Riordan, John

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p. 27-30

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Representation of arithmetic functions in $GF[p^n,x]$ with values in an arbitrary field

Silva, Joseph A.

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p. 31-44

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The Lebesgue constants for $(E,1)$ summation of Fourier series

Lorch, Lee

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p. 45-50

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Derivation and cohomology in simple and other rings. I.

Nakayama, Tadasi

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p. 51-63

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Independence of arithmetic functions

Carlitz, L.

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p. 65-70

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Isogonal points for a tetrahedron

Court, N. A.

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p. 71-74

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Limits for the characteristic roots of a matrix. IV: Applications to stochastic matrices

Brauer, Alfred

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p. 75-91

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Transcendental numbers over certain function fields

Spencer, Jr., S. M.

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p. 93-105

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Zeros of simple sets of polynomials

Nassif, M.

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p. 107-113

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Rings of arithmetic functions

Cohen, Eckford

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p. 115-129

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Abel transforms of Tauberian series and analytic approximation to curves and functions

Agnew, Ralph Palmer

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p. 131-138

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The characteristic roots of a matrix

Leng, Sen-Ming

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p. 139-154

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Hankel determinants whose elements are sections of a Taylor series. Part II.

Ullman, J. L.

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p. 155-164

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New cases of irreducibility for Legendre polynomials

Wahab, J. H.

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p. 165-176

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The map excision theorem

Wallace, A. D.

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p. 177-182

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Partial-sum couplings for double Fourier series

Herriot, John G.

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p. 183-198

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Remarks on the Claytor imbedding theorem

Moise, Edwin E.

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p. 199-202

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Representation of complete systems of functions

Talmadge, R. B.

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p. 203-218

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Representations of separable algebras

Kaplansky, Irving

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p. 219-222

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Continua and their complementary domains in the plane. II.

Burgess, C. E.

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p. 223-230

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Some inequalities of determinants of Minkowski type

Wong, Y. K.

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p. 231-241

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The boundary values of a class of meromorphic functions

Lohwater, A. J.

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p. 243-252

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The representation of functionals by integrals

Glicksberg, Irving

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p. 253-261

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A survey of the development of the theory of schlicht functions

Bernardi, S. D.

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p. 263-287

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Some characterizations of normal and perfectly normal spaces

Tong, Hing

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p. 289-292

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A modified Riemann-Stieltjes integral

McShane, E. J. ; Botts, T. A.

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p. 293-302

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One-dimensional cohomology group of locally compact metrically homogeneous space

Wang, Hsien-Chung

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p. 303-310

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Variational methods and non-oscillation theorems for systems of differential equations

Sternberg, Robert L.

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p. 311-322

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A primitive dispersion set of the plane

Estill, Mary Ellen

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p. 323-328

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Congruences for the coefficients of hyperelliptic and related functions

Carlitz, L.

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p. 329-337

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The iteration of power series in two variables

Bellman, Richard

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p. 339-347

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Convex functions and upper semi-continuous collections

Anderson, R. D. ; Klee, Jr., V. L.

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p. 349-357

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Monotone interior dimension-raising mappings

Anderson, R. D.

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p. 359-366

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The Plemelj theory for the class $\Lambda^\ast$ of functions

Block, I. Edward

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p. 367-378

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Functions periodic modulo each of a sequence of integers

Straus, E. G.

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p. 379-395

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Cremona transformations associated with the chords of a twisted cubic

Vest, M. L.

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p. 397-408

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Note on the extension of rectangle functions

Kober, H.

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p. 409-416

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A general set-separation theorem

Ellis, J. W.

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p. 417-421

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Continuous and equicontinuous collections of arcs

Ball, B. J.

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p. 423-433

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Uniqueness for $p$ -regular mapping

Gergen, J. J. ; Dressel, F. G.

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p. 435-444

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On quasi-compact mappings

Whyburn, G. T.

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p. 445-446

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Convexity and starlikeness of analytic functions

Royster, W. C.

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p. 447-457

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Sums of primitive roots in a finite field

Carlitz, L.

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p. 459-469

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A problem of Dickson

Carlitz, L.

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p. 471-474

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Note on irreducibility of the Bernoulli and Euler polynomials

Carlitz, L.

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p. 475-481

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Elementary divisors of certain matrices

Parker, W. V. ; Mitchell, B. E.

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p. 483-485

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A note on the heat equation

Hirschman, Jr., I. I.

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p. 487-492

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Non-oscillatory differential equations

Taam, Choy-Tak

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p. 493-497

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Approximately convex functions

Green, John W.

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p. 499-504

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Generalized local class field theory I. Reciprocity law

Whaples, G.

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p. 505-517

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The minima of some non-homogeneous functions of two variables

Mordell, L. J.

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p. 519-527

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Infinite Lie algebras

Schenkman, Eugene

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p. 529-535

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Generalized convex sets in the plane

Drandell, Milton

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p. 537-547

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Congruences for the ménage polynomials

Carlitz, L.

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p. 549-552

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Limits for the characteristic roots of a matrix. V.

Brauer, Alfred

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p. 553-562

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Bounds for the characteristic roots of matrices with real elements

Medlin, Gene W.

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p. 563-565

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Double Sturm-Liouville expansions

Berkovitz, Leonard D.

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p. 567-574

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The kernel function in the geometry of matrices

Mitchell, Josephine

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p. 575-583

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Exceptional values of entire and meromorphic functions

Shah, S. M.

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p. 585-593

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Absolutely continuous product transformations of the plane

Helsel, R. G. ; Levine, N.

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p. 595-603

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Laplace-transforms. (XI). The singularities of Laplace-transforms. (III)

Tanaka, Chuji

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p. 605-613

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The existence of invariant subspaces

Wermer, John

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p. 615-622

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Properties of regular rings

Waddell, Mathews C.

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p. 623-627

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Concerning a problem of Souslin’s

Estill, Mary Ellen

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p. 629-639

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Note on a theorem of Mackey

Loomis, L. H.

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p. 641-645

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Summability: the inset, replaceable matrices, the basis in summability space

Wilansky, Albert

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p. 647-660

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The geometry of normed lattices

Kelly, L. M.

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p. 661-669

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The inversion of solutions of the heat equation for the infinite rod

Blackman, Jerome

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p. 671-682

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Distributivity in lattices

Dilworth, R. P. ; McLaughlin, J. E.

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p. 683-693

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Functional inequalities in the elementary theory of primes

Wright, E. M.

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p. 695-704

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