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 14, Number 4

Publication Date: December 1947

The characterization of algebraic plane curves

Th. Motzkin and A. Robinson; 837-853

The summability $(A)$ of the conjugate series of a Fourier series

M. L. Misra; 855-863

Order of magnitude of the zeros of polynomials in basic series

M. T. Eweida; 865-875

Extension of analytic functions

František Wolf; 877-887

A minimal problem for harmonic functions

J. J. Gergen and F. G. Dressel; 889-906

Some results for Dirichlet series

V. F. Cowling; 907-911

Note on the strong summability of Fourier series

Ching-Tsün Loo; 913-919

Cohomology and representations of associative algebras

G. Hochschild; 921-948

A variational method in conformal mapping

A. C. Schaeffer and D. C. Spencer; 949-966

The identical vanishing of the Laplace integral

Yu-cheng Shen; 967-973

Expansion theorems of Paley-Wiener type

Béla de Sz. Nagy; 975-978

A characterization of $2$-manifolds

Gail S. Young, Jr.; 979-990

An exposition of the relative homotopy theory

Sze-tsen Hu; 991-1033

A generalization of Schwarz’ lemma

Zeev Nehari; 1035-1049

Invariant measure and the ergodic theorems

Yael Naim Dowker; 1051-1061

The singular elements of a Banach algebra

C. E. Rickart; 1063-1077

Cyclic projective planes

Marshall Hall, Jr.; 1079-1090

The type of the polynomials generated by $f(xt)\phi(t)$

William N. Huff; 1091-1104

The singular series for sums of squares of polynomials

L. Carlitz; 1105-1120

Representations of arithmetic functions in $GF[p^n,x]$

L. Carlitz; 1121-1137

A problem of Dickson’s

L. Carlitz; 1139-1140