Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.


Volume 15, Number 1

Publication Date: March 1948

Note on Paley-Wiener’s theorem

Fu Traing Wang; 1-3

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

Fu Traing Wang; 5-10

A note on periodic integral functions

C. T. Rajagopal; 11-15

Summability factors of Fourier series

Min-Teh Cheng; 17-27

Summability factors of Fourier series at a given point

Min-Teh Cheng; 29-36

Certain chains in a finite projective geometry

Chung-Tao Yang; 37-47

Skewly Cevian tetrahedrons

N. A. Court; 49-54

Asymptotic integrations of the adiabatic oscillator in its hyperbolic range

Aurel Wintner; 55-67

Invariant characterizations of two-dimensional affine and metric spaces

Jack Levine; 69-77

A type of inversion of certain series

E. T. Bell; 79-85

Homeomorphic approximations to monotone mappings

J. W. T. Youngs; 87-94

Generalized canonical lines

V. G. Grove; 95-103

More inequalities for Fourier transforms

R. P. Boas, Jr.; 105-109

The asymptotic nature of solutions of linear systems of differential equations

Norman Levinson; 111-126

A class of rectangle functions

Casper Goffman; 127-135

An example in conformal mapping

A. J. Lohwater and W. Seidel; 137-143

A renewal theorem

David Blackwell; 145-150

A new criterion for the extension of rectangle functions

O. W. Rechard and P. V. Reichelderfer; 151-158

The Cauchy area of a Fréchet surface

R. G. Helsel and T. Radó; 159-167

A new geometrical interpretation of the Lebesgue area of a surface

E. J. Mickle and T. Radó; 169-180

The strong law of large numbers

H. D. Brunk; 181-195

A special method of successive approximations for Fredholm integral equations

Hans Bückner; 197-206

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

P. O. Bell; 207-218

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

L. Carlitz and Eckford Cohen; 219-228

The algebraic independence of arithmetic functions (I) Multiplicative functions

Richard Bellman and Harold N. Shapiro; 229-235

Algebraic independence of certain arithmetic functions

L. I. Wade; 237

The theory of the Burkill integral

Lawrence A. Ringenberg; 239-270

The cohomology theory of group extensions

Roger C. Lyndon; 271-292

Countable Abelian groups without torsion

G. Szekeres; 293-306

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