Sommaire du Fascicule no. 1

A correction: “Laguerre polynomials and the Laplace transform,” vol. 6 (1940), pp. 615–626

Shohat, J.

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The growth of the solutions of a differential equation

Levinson, N.

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p. 1-10

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Regular curve-families filling the plane, II

Kaplan, Wilfred

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p. 11-46

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The fractional derivative of a Laplace integral

Smith, C. V. L.

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p. 47-77

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Projections in Minkowski and Banach spaces

Sobczyk, Andrew

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p. 78-106

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The Fredholm theory of integral equations

Smithies, F.

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p. 107-130

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Pseudo-normed linear spaces

LaSalle, J. P.

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p. 131-135

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Monotone transformations of non-compact two-dimensional manifolds

Martin, Venable

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p. 136-153

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Operation theory and multiple sequence transformations

Hill, J. D. ; Hamilton, H. J.

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p. 154-162

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Functions with positive derivatives

Boas, Jr., R. P.

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p. 163-172

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Simultaneous representation in a quadratic and linear form

Pall, Gordon

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p. 173-180

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A theorem of Boas

Levinson, Norman

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p. 181-182

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Extension of the range of a differentiable function

Hestenes, M. R.

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p. 183-192

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Formulations of the Hausdorff inclusion problem

Garabedian, H. L. ; Hille, Einar ; Wall, H. S.

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p. 193-213

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Functions of bounded variation in two variables

Macphail, M. S.

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p. 215-222

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Interval-functions

Gleyzal, André

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p. 223-230

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The extension of rectangle functions

Reichelderfer, P. ; Ringenberg, L.

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p. 231-242

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Khintchine’s problem in metric Diophantine approximation

Duffin, R. J. ; Schaeffer, A. C.

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p. 243-255

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Non-alternating and non-separating transformations modulo a family of sets

Odle, John W.

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p. 256-268

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A new proof of a theorem of Menchoff

Salem, Raphaël

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p. 269-272

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A topology for semi-modular lattices

Wilcox, L. R.

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p. 273-285

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The arithmetical theory of Birkhoff lattices

Dilworth, R. P.

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p. 286-299

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An analogue of Green’s theorem in the calculus of variations

Hestenes, Magnus R.

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p. 300-311

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A generalization of the Aumann-Carathéodory “Starrheitssatz”

Heins, Maurice H.

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p. 312-316

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The absolute convergence of trigonometrical series

Salem, Raphaël

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p. 317-334

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The distribution of the number of summands in the partitions of a positive integer

Erdös, Paul ; Lehner, Joseph

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p. 335-345

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Riesz summability methods of order $r$ , for $\mathcal{R}(r)<0$

Forsythe, G. E.

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p. 346-349

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Unstable minimal surfaces of higher topological structure

Morse, Marston ; Tompkins, C.

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p. 350-375

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The best polynomial approximation of functions possessing derivatives

Shohat, J.

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p. 376-385

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The decomposition of measures

Halmos, Paul R.

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p. 386-392

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Functions having subharmonic logarithms

Beckenbach, E. F.

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p. 393-400

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Riemannian manifolds with positive mean curvature

Myers, S. B.

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p. 401-404

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An analogue of the Bernoulli polynomials

Carlitz, L.

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p. 405-412

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A minimum problem in the theory of analytic functions

Doob, J. L.

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p. 413-424

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Change of velocities in a continuous ergodic flow

Ambrose, Warren

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p. 425-440

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Sums of $n$ -th powers of quadratic integers

Niven, Ivan

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p. 441-451

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Extension of homeomorphisms into Euclidean and Hilbert parallelotopes

Fox, Ralph H.

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p. 452-456

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A generalization of Brouwer’s fixed point theorem

Kakutani, Shizuo

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p. 457-459

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The double Laplace integral

Bernstein, Dorothy L.

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p. 460-496

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Non-commutative chains and the Poincaré group

Flexner, William W.

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p. 497-505

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Rings with multiple-valued operations

Pate, Robert S.

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p. 506-517

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Intransitive Abelian almost-translation groups of almost-periodic functions

Assadourian, Fred

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p. 518-524

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Riemann sums and the fundamental polynomials of Lagrange interpolation

Curtiss, J. H.

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p. 525-532

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Finite groups and restricted Lie algebras

Hooke, Robert

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p. 533-540

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Convergence and divergence of non-harmonic gap series

Kac, M.

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p. 541-545

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Laplace transforms of multiply monotonic functions

Royall, Jr., Norman N.

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p. 546-558

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Power series with multiply monotonic sequences of coefficients

Szegö, G.

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p. 559-564

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A theorem on dimension

Roberts, J. H.

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p. 565-574

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Simple explicit expressions for generalized Bernoulli numbers of the first order

Vandiver, H. S.

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p. 575-584

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Generalized Bernoulli and Euler numbers

Carlitz, L.

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p. 585-589

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An application of the classical orthogonal polynomials to the theory of interpolation

Laden, H. N.

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p. 591-610

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Young’s semi-normal representation of the symmetric group

Thrall, R. M.

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p. 611-624

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Periodic types of transformations

Hall, D. W. ; Kelley, J. L.

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p. 625-630

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A partition function connected with the modulus five

Lehner, Joseph

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p. 631-655

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Inequalities for trigonometric integrals

Civin, Paul

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p. 656-665

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The function of mean concentration of a chance variable

Kawata, Tatsuo

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p. 666-677

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The singularities of Cauchy’s distributions

Wintner, Aurel

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p. 678-681

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Continua of finite sections

Harrold, Jr., O. G.

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p. 682-688

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The coefficients of the reciprocal of a series

Carlitz, L.

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p. 689-700

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Certain quantities transcendental over $GF(p^n,x)$

Wade, L. I.

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p. 701-720

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The sum of the divisors of a polynomial

Canaday, E. F.

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p. 721-737

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The canonical lines

Hsiung, Chuan-Chih

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p. 738-742

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A principle of Jessen and general Fubini theorems

Dunford, Nelson ; Tamarkin, J. D.

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p. 743-749

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Division algebras over a function field

Albert, A. A.

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p. 750-762

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A property of Banach spaces

Day, Mahlon M.

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p. 763-770

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