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 4, Number 1

Publication Date: March 1938

The mapping of Betti groups under interior transformations

G. T. Whyburn; 1-8

Certain integral functions related to exponential sums

Harry Matison; 9-29

The half-group of cosets belonging to a group

Charles Hopkins; 30-38

Spheroidal and bipolar coordinates

H. Bateman; 39-50

Differentiable and Riemann metric

S. Bochner; 51-54

Linear functionals satisfying prescribed conditions

Ralph Palmer Agnew; 55-77

The measure of transitive geodesics on certain three-dimensional manifolds

Annita Tuller; 78-94

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

Edward Kasner; 95-106

Quaternary Cremona groups of ternary type

Frank C. Gentry; 107-124

Weakly complete Banach spaces

H. H. Goldstine; 125-131

Some existence theorems for problems in the calculus of variations

E. J. McShane; 132-156

Transformations in linear topological spaces

John V. Wehausen; 157-169

Integral functions bounded on sequences of points

Norman Levinson; 170-175

Some gap theorems for power series

R. P. Boas, Jr.; 176-188

On absolutely continuous transformations in the plane

Tibor Radó; 189-221

Cross-sections of curves in $3$-space

Hassler Whitney; 222-226

Tauberian theorems for $(C,1)$ summability

R. P. Boas, Jr.; 227-230

The index theorem in the calculus of variations

Marston Morse; 231-246