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 27, Number 1

Publication Date: March 1960

Elements of a theory of intrinsic functions on algebras

R. F. Rinehart; 1-19

On nilalgebras and linear varieties of nilpotent matrices. II

Murray Gerstenhaber; 21-31

Ergodic theory for discrete semi-Markov chains

Philip M. Anselone; 33-40

A continuous poker game

A. J. Goldman and J. J. Stone; 41-53

Functional equations in the theory of dynamic programming— X : Resolvents, characteristic functions and values

Richard Bellman and Sherman Lehman; 55-69

Generalization of a theorem of Jensen concerning convolutions

H. W. Gould; 71-76

Some congruences involving sums of binomial coefficients

L. Carlitz; 77-79

A characterization in $E^3$ of the everywhere regular solution of the reduced wave equation

O. G. Owens; 81-90

Pairs of commuting matrices over a finite field

Walter Feit and N. J. Fine; 91-94

A generalization of a functional equation related to the theory of partitions

Shô Iseki; 95-110

Direct sums of countable groups

George Kolettis, Jr.; 111-125

Convergence of orthogonal series

Ralph Palmer Agnew; 127-131

A general Wirtinger-type inequality

W. J. Coles; 133-138

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