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 3

Publication Date: September 1938

Orthogonal polynomials in three variables

Dunham Jackson; 441-454

A lattice formulation for transcendence degrees and $p$-bases

Saunders Mac Lane; 455-468

Proof of a gap theorem

J. Marcinkiewicz and A. Zygmund; 469-472

A theorem of Lusin. Part I

J. Marcinkiewicz and A. Zygmund; 473-485

Subrings of infinite direct sums

Neal H. McCoy; 486-494

Tensor products of Abelian groups

Hassler Whitney; 495-528

Theorems on Riesz means

H. L. Carabedian and W. C. Randels; 529-533

Simple Lie algebras over a field of characteristic zero

N. Jacobson; 534-551

Linear functionals and completely additive set functions

B. J. Pettis; 552-565

Solutions of systems of differential equations in infinitely many unknowns by infinite series of definite integrals

Jesse Pierce; 566-574

Relations between certain continuous transformations of sets

R. G. Simond; 575-589

Covariant configurations related to analytic curved surfaces

P. O. Bell; 590-599

Boolean functions of bounded variation

William D. Duthie; 600-606

Interior transformations of certain curves

G. T. Whyburn; 607-612

Integral inequalities connected with differential operators

I. Halperin and H. R. Pitt; 613-625

Interior surface transformations

G. T. Whyburn; 626-634