Sommaire du Fascicule no. 1

Correction to “A property of Hausdorff measure”

Eggleston, H. G.

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Recurrent determinants of Legendre and of ultraspherical polynomials

Beckenbach, E. F. ; Seidel, W. ; Szász, Otto

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p. 1-10

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The quintic character of $2$ and $3$

Lehmer, Emma

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p. 11-18

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The generalization of the valuation theory

Fuchs, Ladislas

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p. 19-26

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Representation of certain Banach algebras on Hilbert space

Rickart, C. E.

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p. 27-39

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Symmetrizable completely continuous linear transformations in Hilbert space

Reid, William T.

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p. 41-56

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A simplified proof of the expansion theorem for singular second order linear differential equations

Levinson, Norman

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p. 57-71

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Projectivities in relatively complemented lattices

McLaughlin, J. E.

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p. 73-84

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The structure of locally compact groups

Gleason, A. M.

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p. 85-104

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A theorem of Fédoroff

Reade, Maxwell O.

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p. 105-109

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A “Simpson’s rule” for the numerical evaluation of Wiener’s integrals in function space

Cameron, R. H.

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p. 111-130

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Some general inversion formulae for analytic functions

Rauch, Louis M.

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p. 131-146

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Almost periodic geodesics on manifolds of hyperbolic type

Utz, W. R.

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p. 147-164

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The variation of spectra

Newburgh, J. D.

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p. 165-176

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An isoperimetric problem for multiple integrals in the calculus of variations

Mathis, H. F.

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p. 177-184

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Mapping by $p$ -regular functions

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

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p. 185-210

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Convergence and $(C,1,1)$ summability of double orthogonal series

Mitchell, Josephine

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p. 211-219

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A class of operator algebras which are determined by groups

Segal, I. E.

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p. 221-265

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The comparison of spectra belonging to potentials with a bounded difference

Putnam, C. R.

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p. 267-273

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Surface integrals of the Weierstrass type

Ewing, George M.

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p. 275-286

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Decompositions induced under finite-to-one closed mappings

Fulton, Jr., Lewis M.

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p. 287-295

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A composition theorem for asymptotic series

Mandelbrojt, S. ; Brunk, H. D.

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p. 297-306

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Probability in dynamical transformation groups

Bernard, Richard R.

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p. 307-319

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A topological characterization of a class of affine transformations

Titus, Charles J.

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p. 321-330

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Endomorphisms of lattices

Hostinsky, L. Aileen

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p. 331-342

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Some studies on cyclic determinants

Ore, Oystein

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p. 343-354

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Note on an infinite integral

Ostrowski, Alexander M.

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p. 355-359

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Second order determinants of Legendre polynomials

Forsythe, George E.

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p. 361-371

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Normal equations and resolvents in fields of characteristic $p$

Garrett, James Richard

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p. 373-384

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Remarks on the isoperimetric inequality

Helsel, R. G.

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p. 385-390

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The volume of a certain matric domain

Potter, H. S. A.

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p. 391-397

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Sums of two squares in a quadratic field

Pall, Gordon

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p. 399-409

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Pseudo-conformal transformations onto circular domains

Springer, George

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p. 411-424

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Sums of products of polynomials in a Galois field

Cohen, Eckford

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p. 425-430

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Rings with ideal nuclei

Zelinsky, Daniel

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p. 431-442

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Convex sets in linear spaces

Klee, Jr., V. L.

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p. 443-466

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Some results concerning homogeneous plane continua

Cohen, Herman J.

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p. 467-474

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Self-dual postulates for $n$ -dimensional geometry

Esser, Martinus

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p. 475-479

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Asymptotic relations in topological groups

Gottschalk, W. H. ; Hedlund, G. A.

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p. 481-485

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Conjugate nets in three- and four-dimensional spaces

Hsiung, Chuan-Chih

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p. 487-499

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Sums of random integers reduced modulo $m$

Dvoretzky, A. ; Wolfowitz, J.

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p. 501-507

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Erweiterung des Vierscheitelsatzes auf dreidimensionale Kurven

Moór, Arthur

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p. 509-516

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Identities involving the coefficients of certain Dirichlet series

Apostol, T. M.

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p. 517-525

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The partial sums of second order of the geometric series

Schweitzer, M.

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p. 527-533

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Special conformal mappings

Fejér, L. ; Szegö, G.

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p. 535-548

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Regions of flatness for analytic functions and their derivatives

Mandelbrojt, S. ; Ulrich, F. E.

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p. 549-556

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Geodesic coordinates and rest systems for general linear connections

Pinl, M. J.

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p. 557-562

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A new implication of the Young-Pollard convergence criteria for a Fourier series

Morse, Marston ; Transue, William

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p. 563-571

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The zeros of approximating polynomials and the canonical representation of an entire function

Korevaar, Jacob

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p. 573-592

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Compositions involving ternary cubics

Richardson, A. R.

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p. 595-598

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Properties of linear transformations preserved under addition of a completely continuous transformation

Yood, Bertram

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p. 599-612

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The Euler-Fermat theorem for matrices

Davis, Alex S.

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p. 613-617

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The order of a matrix under multiplication ${\rm modulo} m$

Maxfield, Margaret Waugh

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p. 619-621

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Separation in non-separable spaces

Estill, Mary Ellen

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p. 623-629

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Topologies defined by bounded sets

Arnold, B. H.

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p. 631-642

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Some extensions of Piranian’s theorem

Wilson, R.

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p. 643-651

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Snake-like continua

Bing, R. H.

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p. 653-663

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Contractions in a hyperbolic space

Gustin, W. ; Sullivan, J. A.

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p. 665-671

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A class of spirals

Jackson, S. B.

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p. 673-682

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Local theory of residues

Whaples, George

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p. 683-688

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A new approach to the study of contact in the projective differential geometry of surfaces

Bell, P. O.

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p. 689-695

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Projective differential invariants of a curve of a surface

Bell, P. O.

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p. 697-705

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The essential multiplicity function

Scott, W. R.

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p. 707-717

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Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”

Levinson, Norman

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p. 719-722

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An estimate of the error in Tauberian theorems for power series

Korevaar, Jacob

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p. 723-734

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A note on basic sets of polynomials

Newns, W. F.

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p. 735-739

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Non-existence of odd perfect numbers of the form $3^{2\beta}\cdot p^\alpha\cdot s_1^{2\beta_{1}}S_2^{2\beta_{2}}S_3^{2\beta_{3}}$

Webber, G. Cuthbert

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p. 741-749

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

Ullman, J. L.

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p. 751-756

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Tests for primality

Brewer, B. W.

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p. 757-763

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The product of the generators of a finite group generated by reflections

Coxeter, H. S. M.

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p. 765-782

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Characteristic vectors for a product of $n$ reflections

Frame, J. S.

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p. 783-785

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Integrability of trigonometric series. I.

Boas, Jr., R. P.

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p. 787-793

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The basis in Banach space

Wilansky, Albert

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p. 795-798

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Prime rings

Johnson, R. E.

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p. 799-809

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Some applications of a theorem of Chevalley

Carlitz, L.

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p. 811-819

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A theorem on cyclic matrices

Silva, Joseph A.

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p. 821-825

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Chains in the projective line

Hoffman, A. J.

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p. 827-830

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Differential invariants of ruled surfaces belonging to one special linear complex

Goldsmith, N. A.

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p. 831-836

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The representation of functions of bounded variation by singular integrals

Hsu, L. C.

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p. 837-844

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The fundamental solution of $\Delta\psi+e(y)\psi_y=0$

Martin, M. H.

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p. 845-858

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An extension of the sum theorem of dimension theory

Butcher, G. H.

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p. 859-874

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Convex sets in linear spaces. II.

Klee, Jr., V. L.

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p. 875-883

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A simplification of games in extensive form

Krentel, W. D. ; McKinsey, J. C. C. ; Quine, W. V.

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p. 885-900

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Continua and their complementary domains in the plane

Burgess, C. E.

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p. 901-917

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