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 11, Number 4

Publication Date: December 1944

One-sided boundedness as a condition for the unique solution of certain heat equations

Harry Pollard; 651-653

Two singularities of space curves

Alice T. Schafer; 655-670

Arbitrary point transformations

Henry Blumberg; 671-685

Congruence of quadratic forms over valuation rings

William H. Durfee; 687-697

Additive properties of compact sets

Paul A. White; 699-701

Some applications of the Fourier integral to generalized trigonometric series

Richard Bellman; 703-713

A canonical quadratic form for the ring of 2-adic integers

Burton W. Jones; 715-727

The Gontcharoff polynomials

Norman Levinson; 729-733

Nörlund summability of multiple Fourier series

John G. Herriot; 735-754

Two types of function field transcendental numbers

L. I. Wade; 755-758

The convergence of sequences of Hadamard determinants

Michael Golomb; 759-777

A family of simple convergence regions for continued fractions

W. J. Thron; 779-791

Two power series theorems extended to the Laplace transform

I. I. Hirschman, Jr.; 793-797

Functions of exponential type, IV

R. P. Boas, Jr.; 799

Criteria for completeness of orthonormal sets and summability of Fourier series

Ralph Palmer Agnew; 801-821

The generalized jump of a function and Gibbs’ phenomenon

Otto Szász; 823-833

Power problems in abstract spaces

E. S. Pondiczery; 835-837

A decomposition of additive set functions

A. Sobczyk and P. C. Hammer; 839-846

The ranges of additive set functions

A. Sobczyk and P. C. Hammer; 847-851

The Lebesgue constants of Möbius’ inversion

Aurel Wintner; 853-867

An analogue of Euler’s $\varphi$-function

E. K. Haviland; 869-872

A transformation formula in the theory of partitions

Lowell Schoenfeld; 873-887

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