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 20, Number 2

Publication Date: June 1953

Difference equations and $J$-matrices

Arthur Wouk; 141-159

Some sums analogous to Dedekind sums

L. Carlitz; 161-171

Sub-biharmonic functions

W. H. Bradford; 173-176

Ordered algebras which contain divisors of zero

Joseph L. Zemmer; 177-183

Uniform completeness of sets of reciprocals of linear functions

Pasquale Porcelli; 185-193

A class of meromorphic functions having the unit circle as a natural boundary

W. J. Thron; 195-198

Bounds for determinants with dominant main diagonal

Emilie V. Haynsworth; 199-209

The evaluation of Ramanujan’s sum and generalizations

Douglas R. Anderson and T. M. Apostol; 211-216

Diophantine equations separable in cyclotomic fields

E. Rosenthall; 217-232

Discrete potential theory

R. J. Duffin; 233-251

A note on measures in Boolean algebras

Edwin Hewitt; 253-256

Products of normal operators

Irving Kaplansky; 257-260

Moment spaces and inequalities

Melvin Dresher; 261-271

Ideals in a class of commutative Banach algebras

John Wermer; 273-278

Modular criteria on Riemann surfaces

Leo Sario; 279-286

Metrization of finite dimensional groups

J. D. Newburgh; 287-293

Differential operators of infinite order

W. J. Klimczak; 295-319

Homogeneous spaces

J. R. Isbell; 321-329

Properties and factorizations of matrices defined by the operation of pseudo-transposition

Leo Katz and Ingram Olkin; 331-337