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 32, Number 1

Publication Date: March 1965

Differentiable manifolds in complex Euclidean space

Errett Bishop; 1-21

Circular regions covered by schlicht functions

S. D. Bernardi; 23-36

Locally flat immersions and Whitney duality

Edward Fadell; 37-52

Basic algebras of algebras with unique minimal faithful representations

Drury W. Wall; 53-63

Noncontinuable analytic functions

F. W. Carroll and J. H. B. Kemperman; 65-83

Baer semigroups

M. F. Janowitz; 85-95

Existence of solutions of nonhomogeneous linear differential equations of second order in $L\sp{2}$

Allan M. Krall; 97-102

Continuumwise accessibility of points in totally disconnected sets

J. L. Cornette; 103-113

Note on automorphic forms with real period polynomials

Harvey Cohn and M. I. Knopp; 115-120

Meromorphic close-to-convex functions

Richard J. Libera; 121-128

Minimal representations of the hyperspace of a continuum

M. K. Fort, Jr. and Jack Segal; 129-137

An integral theorem for analytic intrinsic functions on quaternions

C. G. Cullen; 139-148

Umbilics of constant curvature immersions

Barrett O’Neill; 149-159

Rational approximations of algebraic irrationals by means of a modified Jacobi-Peron algorithm

Leon Bernstein; 161-176

Note on a paper of L. Bernstein

L. Carlitz; 177-180

The number of representations of an integer as a sum of two square-free numbers

Eckford Cohen; 181-185