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 10, Number 1

Publication Date: March 1943

The approximation of arbitrary biunique transformations

Casper Goffman; 1-4

Approximation by polynomials

J. A. Clarkson and P. Erdös; 5-11

Sequences of Stieltjes integrals, II

H. M. Schwartz; 13-22

On a theorem of Zygmund

R. Salem; 23-31

Polynomials on a finite discrete range

E. T. Bell; 33-47

Two-to-one mappings of manifolds

Paul Civin; 49-57

Representation as a Gaussian integral

Harry Pollard; 59-65

A special type of conformal map

J. W. Green; 67-71

Sufficiency conditions for the problem of Lagrange

Franklin G. Myers; 73-97

Riemann’s hypothesis and harmonic analysis

Aurel Wintner; 99-105

Classes of restricted Lie algebras of characteristic $p$, II

N. Jacobson; 107-121

Exponential curves

Joachim Weyl; 123-143

Fundamental polynomials of Lagrange interpolation and coefficients of mechanical quadrature

H. N. Laden; 145-151

Differentiability of the remainder term in Taylor’s formula

Hassler Whitney; 153-158

Differentiable even functions

Hassler Whitney; 159-160

The general type of singularity of a set of $2n-1$ smooth functions of $n$ variables

Hassler Whitney; 161-172