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 9, Number 1

Publication Date: March 1942

A comparison of linear measures in the plane

Seymour Sherman; 1-9

Limits of integrals

Ralph Palmer Agnew; 10-19

Classification of solutions and of pairs of solutions of $y'''+2py'+p'y=0$ by means of initial conditions

Joseph J. Eachus; 20-24

Structure and continuity of measurable flows

Warren Ambrose and Shizuo Kakutani; 25-42

The decomposition of measures, II

Warren Ambrose, Paul R. Halmos and Shizuo Kakutani; 43-47

The Fuchsian equation of second order with four singularities

A. Erdélyi; 48-58

A generalization of the Euclidean algorithm to several dimensions

Barkley Rosser; 59-95

Positive definite functions on spheres

I. J. Schoenberg; 96-108

The analytic prolongation of a minimal surface

E. F. Beckenbach; 109-111

Additive functions and almost periodicity

Philip Hartman and Aurel Wintner; 112-119

A correction to a previous paper: “Functions of several variables and absolute continuity, II,” vol. 6 (1940), pp. 187–215

Charles B. Morrey, Jr.; 120-124

A general Kummer theory for function fields

Saunders Mac Lane and O. F. G. Schilling; 125-167

Absolute Nörlund summability

Leonard McFadden; 168-207

Associated double integral variation problems

Earl J. Mickle; 208-227

Fundamental theorems of a new mathematical theory of plasticity

W. Prager; 228-233

The reciprocal of certain series

L. Carlitz; 234-243

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