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 8, Number 3

Publication Date: September 1941

A minimum problem in the theory of analytic functions

J. L. Doob; 413-424

Change of velocities in a continuous ergodic flow

Warren Ambrose; 425-440

Sums of $n$-th powers of quadratic integers

Ivan Niven; 441-451

Extension of homeomorphisms into Euclidean and Hilbert parallelotopes

Ralph H. Fox; 452-456

A generalization of Brouwer’s fixed point theorem

Shizuo Kakutani; 457-459

The double Laplace integral

Dorothy L. Bernstein; 460-496

Non-commutative chains and the Poincaré group

William W. Flexner; 497-505

Rings with multiple-valued operations

Robert S. Pate; 506-517

Intransitive Abelian almost-translation groups of almost-periodic functions

Fred Assadourian; 518-524

Riemann sums and the fundamental polynomials of Lagrange interpolation

J. H. Curtiss; 525-532

Finite groups and restricted Lie algebras

Robert Hooke; 533-540

Convergence and divergence of non-harmonic gap series

M. Kac; 541-545

Laplace transforms of multiply monotonic functions

Norman N. Royall, Jr.; 546-558

Power series with multiply monotonic sequences of coefficients

G. Szegö; 559-564

A theorem on dimension

J. H. Roberts; 565-574

Simple explicit expressions for generalized Bernoulli numbers of the first order

H. S. Vandiver; 575-584

Generalized Bernoulli and Euler numbers

L. Carlitz; 585-589