Sommaire du Fascicule no. 1

The mapping of Betti groups under interior transformations

Whyburn, G. T.

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p. 1-8

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Certain integral functions related to exponential sums

Matison, Harry

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p. 9-29

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The half-group of cosets belonging to a group

Hopkins, Charles

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p. 30-38

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Spheroidal and bipolar coordinates

Bateman, H.

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p. 39-50

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Differentiable and Riemann metric

Bochner, S.

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p. 51-54

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Linear functionals satisfying prescribed conditions

Agnew, Ralph Palmer

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p. 55-77

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The measure of transitive geodesics on certain three-dimensional manifolds

Tuller, Annita

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p. 78-94

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Characterization of the conformal group and the equi-long group by horn angles

Kasner, Edward

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p. 95-106

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Quaternary Cremona groups of ternary type

Gentry, Frank C.

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p. 107-124

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Weakly complete Banach spaces

Goldstine, H. H.

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p. 125-131

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Some existence theorems for problems in the calculus of variations

McShane, E. J.

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p. 132-156

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Transformations in linear topological spaces

Wehausen, John V.

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p. 157-169

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Integral functions bounded on sequences of points

Levinson, Norman

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p. 170-175

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Some gap theorems for power series

Boas, Jr., R. P.

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p. 176-188

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On absolutely continuous transformations in the plane

Radó, Tibor

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p. 189-221

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Cross-sections of curves in $3$ -space

Whitney, Hassler

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p. 222-226

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Tauberian theorems for $(C,1)$ summability

Boas, Jr., R. P.

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p. 227-230

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The index theorem in the calculus of variations

Morse, Marston

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p. 231-246

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Structures and group theory. II

Ore, Oystein

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p. 247-269

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Summability of conjugate Fourier series

Smith, A. H.

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p. 270-276

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A determination of the automorphisms of certain algebraic fields

Lester, Caroline A.

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p. 277-290

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An affine invariant of convex regions

Ader, Olin B.

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p. 291-299

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The ultrahyperbolic differential equation with four independent variables

John, Fritz

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p. 300-322

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A cotangent analogue of continued fractions

Lehmer, D. H.

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p. 323-340

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Change of dimension in sequence transformations

Hamilton, Hugh J.

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p. 341-342

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A generalization of multiple sequence transformations

Hamilton, Hugh J.

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p. 343-358

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Sums of $n$ -th powers in fields of prime characteristic

Tornheim, Leonard

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p. 359-362

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Compact Abelian transformation groups

Montgomery, Deane ; Zippin, Leo

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p. 363-373

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Certain integrals and infinite series involving ultra-spherical polynomials and Bessel functions

Hsü, Hsien-yü

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p. 374-383

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Taylor’s series of functions of smooth growth in the unit circle

Martin, W. T. ; Wiener, N.

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p. 384-392

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Degree of approximation by polynomials in $z$ and $1/z$

Sewell, W. E.

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p. 393-400

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The jump of a function determined by its Fourier coefficients

Szász, Otto

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p. 401-407

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Integration in abstract metric spaces

Saks, S.

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p. 408-411

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The projections of the asymptotic curves

MacQueen, M. L.

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p. 412-419

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On absolutely convergent Fourier-Stieltjes transforms

Wiener, N. ; Pitt, H. R.

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p. 420-436

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A remark on Wiener’s general Tauberian theorem

Pitt, H. R.

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p. 437-440

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Orthogonal polynomials in three variables

Jackson, Dunham

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p. 441-454

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A lattice formulation for transcendence degrees and $p$ -bases

Mac Lane, Saunders

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p. 455-468

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Proof of a gap theorem

Marcinkiewicz, J. ; Zygmund, A.

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p. 469-472

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A theorem of Lusin. Part I

Marcinkiewicz, J. ; Zygmund, A.

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p. 473-485

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Subrings of infinite direct sums

McCoy, Neal H.

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p. 486-494

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Tensor products of Abelian groups

Whitney, Hassler

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p. 495-528

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Theorems on Riesz means

Carabedian, H. L. ; Randels, W. C.

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p. 529-533

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Simple Lie algebras over a field of characteristic zero

Jacobson, N.

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p. 534-551

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Linear functionals and completely additive set functions

Pettis, B. J.

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p. 552-565

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Solutions of systems of differential equations in infinitely many unknowns by infinite series of definite integrals

Pierce, Jesse

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p. 566-574

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Relations between certain continuous transformations of sets

Simond, R. G.

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p. 575-589

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Covariant configurations related to analytic curved surfaces

Bell, P. O.

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p. 590-599

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Boolean functions of bounded variation

Duthie, William D.

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p. 600-606

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Interior transformations of certain curves

Whyburn, G. T.

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p. 607-612

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Integral inequalities connected with differential operators

Halperin, I. ; Pitt, H. R.

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p. 613-625

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Interior surface transformations

Whyburn, G. T.

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p. 626-634

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Functions of integrable square in several complex variables

Bochner, S.

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p. 635-639

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Approximation to the solution of a normal system of ordinary linear differential equations

Risselman, W. C.

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p. 640-649

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Solutions of a differential equation of the first order and first degree in the vicinity of branch points of the solution

Pierce, Jesse

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p. 650-655

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Factorization in principal ideal rings

Serbin, H.

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p. 656-663

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Nil-rings with minimal condition for admissible left ideals

Hopkins, Charles

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p. 664-667

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Infinite systems of linear equations and expansions of analytic functions

Ketchum, P. W.

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p. 668-677

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Ternary trilinear forms in the field of complex numbers

Thrall, R. M. ; Chanler, J. H.

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p. 678-690

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Equidistribution of residues in sequences

Hall, Marshall

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p. 691-695

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On the factorization of generalized quaternions

Pall, Gordon

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p. 696-704

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Certain differential equations for Tchebycheff polynomials

Krall, H. L.

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p. 705-718

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Properties of invariant sets under pointwise periodic homeomorphisms

Hall, D. W. ; Schweigert, G. E.

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p. 719-724

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Commutative algebras which are polynomial algebras

Rinehart, R. F.

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p. 725-736

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Prüfer ideals in commutative rings

Dribin, D. M.

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p. 737-751

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One-parameter families of transformations

Doob, J. L.

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p. 752-774

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Sufficient conditions for the convergence of a continued fraction

Leighton, Walter

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p. 775-778

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Algebraic functions of analytic almost periodic functions

Bohr, Harald ; Flanders, Donald A.

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p. 779-787

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Discontinuous groups and allied topics, III: On a lemma about matrices

Zorn, Max

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p. 788-792

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The summability of exponential and factorial series

Fort, Tomlinson

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p. 793-800

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