Sommaire du Fascicule no. 1

A comparison of linear measures in the plane

Sherman, Seymour

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p. 1-9

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Limits of integrals

Agnew, Ralph Palmer

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p. 10-19

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Classification of solutions and of pairs of solutions of $y'''+2py'+p'y=0$ by means of initial conditions

Eachus, Joseph J.

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p. 20-24

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Structure and continuity of measurable flows

Ambrose, Warren ; Kakutani, Shizuo

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p. 25-42

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The decomposition of measures, II

Ambrose, Warren ; Halmos, Paul R. ; Kakutani, Shizuo

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p. 43-47

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The Fuchsian equation of second order with four singularities

Erdélyi, A.

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p. 48-58

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A generalization of the Euclidean algorithm to several dimensions

Rosser, Barkley

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p. 59-95

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Positive definite functions on spheres

Schoenberg, I. J.

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p. 96-108

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The analytic prolongation of a minimal surface

Beckenbach, E. F.

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p. 109-111

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Additive functions and almost periodicity

Hartman, Philip ; Wintner, Aurel

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p. 112-119

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A correction to a previous paper: “Functions of several variables and absolute continuity, II,” vol. 6 (1940), pp. 187–215

Morrey, Jr., Charles B.

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p. 120-124

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A general Kummer theory for function fields

Mac Lane, Saunders ; Schilling, O. F. G.

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p. 125-167

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Absolute Nörlund summability

McFadden, Leonard

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p. 168-207

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Associated double integral variation problems

Mickle, Earl J.

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p. 208-227

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Fundamental theorems of a new mathematical theory of plasticity

Prager, W.

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p. 228-233

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The reciprocal of certain series

Carlitz, L.

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p. 234-243

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The asymptotic forms of the solutions of an ordinary linear matric differential equation in the complex domain

Newell, Jr., Homer E.

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p. 245-258

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A self-reciprocal function

Varma, R. S.

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p. 259-261

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The structure of the group of $\mathfrak{P}$ -adic $1$ -units

Gilbarg, David

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p. 262-271

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An explicit formula for the solution of the ultrahyperbolic equation in four independent variables

Owens, Glynn

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p. 272-282

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Generalized arithmetic

Birkhoff, Garrett

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p. 283-302

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Maximal fields with valuations

Kaplansky, Irving

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p. 303-321

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Algebraic properties of certain matrices over a ring

McCoy, Neal H.

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p. 322-340

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Central chains of ideals in an associative ring

Jennings, S. A.

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p. 341-355

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Generalized “sandwich” theorems

Stone, A. H. ; Tukey, J. W.

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p. 356-359

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The continued fraction as a sequence of linear transformations

Paydon, J. Findlay ; Wall, H. S.

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p. 360-372

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Some properties of summability

Hill, J. D.

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p. 373-381

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A general equation for relaxation oscillations

Levinson, Norman ; Smith, Oliver K.

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p. 382-403

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The divergence of non-harmonic gap series

Hartman, Philip

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p. 404-405

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Influence of the signs of the derivatives of a function on its analytic character

Boas, Jr., R. P. ; Pólya, G.

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p. 406-424

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The distribution of primes

Wintner, Aurel

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p. 425-430

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Parametric solutions of certain Diophantine equations

Bell, E. T.

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p. 431-435

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The double- $N_n$ configuration

Coble, Arthur B.

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p. 436-449

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A particular set of ten points in space

Coble, Arthur B.

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p. 450-453

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Non-analytic class field theory and Grunwald’s theorem

Whaples, George

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p. 455-473

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$n$ -to-one mappings of linear graphs

Gilbert, Paul W.

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p. 475-486

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Monotone transformations

Wallace, A. D.

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p. 487-506

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Normal bases of cyclic fields of prime-power degree

Perlis, Sam

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p. 507-517

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Completely monotone functions in partially ordered spaces

Bochner, S.

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p. 519-526

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Convergence in length and convergence in area

Radó, T. ; Reichelderfer, P.

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p. 527-565

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The absolute Cesàro summability of trigonometrical series

Wang, Fu Traing

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p. 567-572

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Theory of equivalence relations

Ore, Oystein

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p. 573-627

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The reciprocal of certain types of Hurwitz series

Carlitz, L.

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p. 629-642

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The Poisson integral representation of functions which are positive and harmonic in a half-plane

Loomis, L. H. ; Widder, D. V.

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p. 643-645

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Quasi-analyticity and properties of flatness of entire functions

Mandelbrojt, S.

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p. 647-661

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Functions of bounded type

Wishard, Audrey

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p. 663-676

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Differentials and analytic continuation in non-commutative algebras

Wagner, R. W.

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p. 677-691

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Some theorems on double trigonometric series

Reves, George E. ; Szász, Otto

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p. 693-705

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Integral formulas in Crofton’s style on the sphere and some inequalities referring to spherical curves

Santaló, L. A.

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p. 707-722

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Related genera of quadratic forms

Jones, Burton W.

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p. 723-756

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A property of pseudo-conformal transformations in the neighborhood of boundary points

Bergman, Stefan ; Spencer, D. C.

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p. 757-762

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Continued fractions with complex elements

Leighton, Walter ; Thron, W. J.

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p. 763-772

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Effective parameters

Brown, Arthur B.

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p. 773-789

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Asymptotic developments of certain integral functions

Fry, Cleota G. ; Hughes, H. K.

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p. 791-802

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The absolute convergence of Fourier series

Cheng, Min-Teh

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p. 803-810

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The calculus of variations in abstract spaces

Goldstine, H. H.

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p. 811-822

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The point of inflexion of a plane curve

Chang, Su-Cheng

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p. 823-832

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The singularity $S_1^m$ of a plane curve

Chang, Su-Cheng

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p. 833-845

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The growth of solutions of a differential equation

Boas, Mary L. ; Boas, Jr., R. P. ; Levinson, Norman

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p. 847-853

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The influence of gaps on density of integers

Salem, R. ; Spencer, D. C.

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p. 855-872

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Affine geometry of vector spaces over rings

Everett, C. J.

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p. 873-878

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A theorem of Cartwright

Boas, Jr., R. P. ; Schaeffer, A. C.

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p. 879-883

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Some geometric inequalities

Feller, Willy

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p. 885-892

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A partial solution of a problem of J. R. Kline

Hall, Dick Wick

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p. 893-901

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