Sommaire du Fascicule no. 1

Algebraic independence of certain arithmetic functions

Wade, L. I.

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Corrections to “La puissance de certaines classes de fonctions”

Obreanu, F.

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Note on Paley-Wiener’s theorem

Wang, Fu Traing

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p. 1-3

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Summability of Fourier series by Riesz’s logarithmic means, III

Wang, Fu Traing

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p. 5-10

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A note on periodic integral functions

Rajagopal, C. T.

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p. 11-15

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Summability factors of Fourier series

Cheng, Min-Teh

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p. 17-27

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Summability factors of Fourier series at a given point

Cheng, Min-Teh

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p. 29-36

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Certain chains in a finite projective geometry

Yang, Chung-Tao

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p. 37-47

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Skewly Cevian tetrahedrons

Court, N. A.

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p. 49-54

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Asymptotic integrations of the adiabatic oscillator in its hyperbolic range

Wintner, Aurel

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p. 55-67

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Invariant characterizations of two-dimensional affine and metric spaces

Levine, Jack

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p. 69-77

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A type of inversion of certain series

Bell, E. T.

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p. 79-85

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Homeomorphic approximations to monotone mappings

Youngs, J. W. T.

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p. 87-94

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Generalized canonical lines

Grove, V. G.

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p. 95-103

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More inequalities for Fourier transforms

Boas, Jr., R. P.

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p. 105-109

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The asymptotic nature of solutions of linear systems of differential equations

Levinson, Norman

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p. 111-126

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A class of rectangle functions

Goffman, Casper

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p. 127-135

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An example in conformal mapping

Lohwater, A. J. ; Seidel, W.

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p. 137-143

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A renewal theorem

Blackwell, David

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p. 145-150

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A new criterion for the extension of rectangle functions

Rechard, O. W. ; Reichelderfer, P. V.

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p. 151-158

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The Cauchy area of a Fréchet surface

Helsel, R. G. ; Radó, T.

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p. 159-167

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A new geometrical interpretation of the Lebesgue area of a surface

Mickle, E. J. ; Radó, T.

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p. 169-180

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The strong law of large numbers

Brunk, H. D.

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p. 181-195

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A special method of successive approximations for Fredholm integral equations

Bückner, Hans

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p. 197-206

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Power series developments for the equations of a general analytic variety in hyperspace

Bell, P. O.

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p. 207-218

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The number of representations of a polynomial in certain special quadratic forms

Carlitz, L. ; Cohen, Eckford

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p. 219-228

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The algebraic independence of arithmetic functions (I) Multiplicative functions

Bellman, Richard ; Shapiro, Harold N.

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p. 229-235

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The theory of the Burkill integral

Ringenberg, Lawrence A.

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p. 239-270

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The cohomology theory of group extensions

Lyndon, Roger C.

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p. 271-292

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Countable Abelian groups without torsion

Szekeres, G.

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p. 293-306

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Lie groups of genus one

Levine, Jack

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p. 307-311

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The complete monotonicity of certain functions derived from completely monotone functions

Rosser, J. Barkley

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p. 313-331

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Integral representations of remainders

Sard, Arthur

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p. 333-345

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Preservation of divisibility in quotient groups

Haimo, F.

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p. 347-356

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Quaternion algebras

Latimer, Claiborne G.

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p. 357-366

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Rings with additive group which is the direct sum of cyclic groups

Beaumont, Ross A.

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p. 367-369

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Definite integral systems

Zimmerberg, Hyman J.

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p. 371-388

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The role of the directrix in Levi-Civita parallelism

Johnson, Paul B.

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p. 389-405

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The real elliptic $\vartheta_3$ -function

Wintner, Aurel

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p. 407-411

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The zeros of the derivatives of the real elliptic $\vartheta_3$ -function

Hartman, Philip

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p. 413-420

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Gradient mappings and extrema in Banach spaces

Rothe, E. H.

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p. 421-431

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Expressing a function of three variables in nomograph form

Barrow, David F.

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p. 433-437

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Characteristic roots and the field of values of a matrix

Parker, W. V.

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p. 439-442

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Diophantine problems in geometry and elliptic ternary forms

Huff, Gerald B.

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p. 443-453

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The generalized Laplace equations in a function theory for commutative algebras

Wagner, Raphael D.

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p. 455-461

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A normal form for matrices whose elements are holomorphic functions

Leavitt, William G.

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p. 463-472

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A new representation and inversion theory for the Laplace integral

Hirschman, Jr., I. I.

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p. 473-494

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The radical of a ring

Brown, Bailey ; McCoy, Neal H.

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p. 495-499

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Sums of an odd number of squares in $GF[p^n, x]$

Cohen, Eckford

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p. 501-511

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The additive properties of integers of a certain class

Mirsky, L.

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p. 513-533

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Kernel functions in the theory of partial differential equations of elliptic type

Bergman, S. ; Schiffer, M.

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p. 535-566

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Value distribution of a meromorphic function of two complex variables on non-analytic manifolds

Mitchell, Josephine

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p. 567-591

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Integral sets in quasiquaternion algebras

Zelinsky, Daniel

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p. 595-622

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A theorem on the asymptotic behavior of a multiple integral

Hsu, L. C.

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p. 623-632

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Normal products of matrices

Wiegmann, N. A.

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p. 633-638

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Tensor invariants of Lie groups

Lee, H. C.

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p. 639-647

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Extensions of the Pontrjagin duality I: Infinite products

Kaplan, Samuel

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p. 649-658

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Generalized inversion formulas for convolution transforms

Hirschman, Jr., I. I. ; Widder, D. V.

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p. 659-696

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Differential equations with non-oscillatory eigenfunctions

Hartman, Philip

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p. 697-709

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Sets of complex numbers associated with a matrix

Parker, W. V.

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p. 711-715

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Basic sets of polynomials. I

Boas, Jr., R. P.

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p. 717-724

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A class of gap theorems

Boas, Jr., R. P.

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p. 725-728

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A homogeneous indecomposable plane continuum

Bing, R. H.

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p. 729-742

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Inequalities for the capacity of a lens

Herriot, John G.

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p. 743-753

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Operations in linear metric spaces

Lorentz, G. G.

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p. 755-761

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A specialization of Zorn’s lemma

Fort, M. K.

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p. 763-765

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The support property of a convex set in a linear normed space

Klee, Jr., V. L.

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p. 767-772

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The central limit theorem for dependent random variables

Hoeffding, Wassily ; Robbins, Herbert

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p. 773-780

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Function classes invariant under the Fourier transform

Duffin, R. J.

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p. 781-785

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Equivalence rings

Johnson, R. E.

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p. 787-793

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Representations of arithmetic functions in $GF[p^n,x]$ , II

Carlitz, L.

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p. 795-801

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Note on a theorem of Carlitz

Mirsky, L.

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p. 803-815

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Inequalities concerning polygons and polyhedra

Tóth, László Fejes

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p. 817-822

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Fermat’s theorem for matrices

Niven, Ivan

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p. 823-826

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Euler’s problem on sums of three fourth powers

Ward, Morgan

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p. 827-837

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Inequalities of the Markoff and Bernstein type for integral norms

Western, Donald W.

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p. 839-869

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Limits for the characteristic roots of a matrix. III

Brauer, Alfred

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p. 871-877

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Integral valued entire functions

Buck, R. Creighton

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p. 879-891

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The theory of linear differential systems based upon a new definition of the adjoint

Haltiner, G. J.

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p. 893-920

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Diophantine systems suggested by Bhascara’s problem

Rosenthall, E.

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p. 921-928

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Dualities of finite projective planes

Ball, Richard William

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p. 929-940

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The law of repetition of primes in an elliptic divisibility sequence

Ward, Morgan

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p. 941-946

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Generalized Laplacians of higher order

Potts, D. H.

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p. 947-951

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An upper bound for the Gontcharoff constant

Boas, Jr., R. P.

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p. 953-954

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Metric methods in linear inequalities

Blumenthal, Leonard M.

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p. 955-966

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The quotient of exponential polynomials

Lax, Peter D.

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p. 967-970

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Bases in Banach spaces

Karlin, S.

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p. 971-985

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$q$ -Bernoulli numbers and polynomials

Carlitz, L.

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p. 987-1000

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Finite sums and interpolation formulas over $GF[p^n,x]$

Carlitz, L.

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p. 1001-1012

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Some properties of summation kernels

Bellman, Richard

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p. 1013-1019

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Finiteness properties of groups

Baer, Reinhold

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p. 1021-1032

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Analytic functions possessing a positive real part

Nehari, Zeev

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p. 1033-1042

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Bounds for characteristic roots of matrices

Taussky, Olga

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p. 1043-1044

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The regularity domains of solutions of linear partial differential equations in terms of the series development of the solution

Ingersoll, Benham M.

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p. 1045-1056

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Sur un théorème de Banach

Dixmier, J.

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p. 1057-1071

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Oscillation theorems for self-adjoint boundary value problems

Gottlieb, Morris J.

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p. 1073-1091

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The third iterate of the Laplace transform

Akutowicz, Edwin J.

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p. 1093-1132

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