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 33, Number 1

Publication Date: March 1966

Homeomorphisms and invariant measures for $\beta N - N$

Ralph A. Raimi; 1-12

Recurrence times and capacities for finite ergodic chains

Guy Louchard; 13-21

A functional-difference equation

John Riordan; 23-25

Some difference equations

L. Carlitz.; 27-31

The Baire order problem for compact spaces

Paul R. Meyer; 33-39

The Fourier series of Gegenbauer’ function

B. C. Carlson and W. H. Greiman; 41-44

Distribution of cyclic matrices in a finite field

E. R. Berlekamp; 45-48

Semi-multiplicative functions

David Rearick; 49-53

Special classes of subordinate functions

S. D. Bernardi; 55-67

Matrix representations of compact simple semigroups

Dennison R. Brown; 69-73

A combinatorial theorem in number theory

M. F. Tinsley; 75-79

Extension of Fenchel’ duality theorem for convex functions

R. T. Rockafellar; 81-89

A complex Pompeiu problem

Richard F. DeMar and Philip J. Davis; 91-101

Periods of differentials on open Riemann surfaces

A. Marden and B. Rodin; 103-108

Orthogonal polynomials of hypergeometric type

Nadhla A. Al-Salam; 109-121

An Hermitian matrix equation over a finite field

John H. Hodges; 123-129

Recursively generated Sturm-Liouville polynomial systems

D. V. Ho, J. W. Jayne and M. B. Sledd; 131-140

Packings with lacunae

Norman Oler; 141-144

An inequality of E. Schmidt

Lawrence F. Shampine; 145-150

Some concepts of parallelism with respect to a given transformation group

Charles Loewner; 151-163

A countable Hausdorff space with a dispersion point

Joseph Martin; 165-167

$L$-functions and quadratic fields with unique factorization

E. Grosswald; 169-185

Regular $D$-classes whose idempotents obey certain conditions

R. J. Warne; 187-195

Applications of $M$-matrices to non-negative matrices

Douglas E. Crabtree; 197-208

Area and moment of inertia theorems for circular domains in $C\sp{n}$

Josephine Mitchell; 209-221

Integrability theorems for Fourier series

Richard Askey and Stephen Wainger; 223-228

Unknotting $2$-manifolds in $3$-hyperplanes of $E\sp{4}$

David S. Gillman; 229-245

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