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 17, Number 2

Publication Date: June 1950

The Gibbs phenomenon and Bochner’s summation method (I)

Min-Teh Cheng; 83-90

Convergence factor and regularity theorems for convergent integrals

S. T. Parker; 91-110

Some mapping theorems

Lawrence M. Graves; 111-114

The differentials of certain functionals in exterior ballistics

E. J. McShane; 115-134

Rational vector spaces. II

C. J. Everett and H. J. Ryser; 135-145

Generalized Dedekind sums and transformation formulae of certain Lambert series

T. M. Apostol; 147-157

Ramanujan sums and the average value of arithmetic functions

Richard Bellman; 159-168

Derivatives and finite differences

H. D. Kloosterman; 169-186

Expansions in Banach spaces

Bernard R. Gelbaum; 187-196