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 40, Number 1

Publication Date: March 1973

Canonical metrics for certain conformally Euclidean spaces of dimension three and codimension one

G. M. Lancaster; 1-8

Approximation in the mean by solutions of elliptic equations

Lars Inge Hedberg; 9-16

Normal bands of commutative cancellative semigroups

Mario Petrich; 17-32

A bound for the first occurrence of three consecutive integers with equal quadratic character

Richard H. Hudson; 33-39

Almost isometries of Banach spaces and moduli of Riemann surfaces

Richard Rochberg; 41-52

Concrete semispaces and lexicographic order

C. Edward Moore; 53-61

Factorization of irreducible polynomials over a finite field with the substitution $x^p^r-x$ for $x$

Andrew F. Long, Jr.; 63-76

A continued fraction of Carlitz

M. D. Hirschhorn; 77-80

On almost periodic and almost automorphic differences of functions

Riho Terras; 81-91

The containing Fréchet space for the class $N\sp{+}$

Niro Yanagihara; 93-103

The Mackey-Blattner theorem and Takesaki’s generalized commutation relation for locally compact groups

Ole A. Nielsen; 105-114

Doubly stable two-stage Postnikov systems

Benjamin G. Cooper; 115-130

Fourier transforms and chains of inner functions

Thomas L. Kriete; 131-143

On Gaussian sums and other exponential sums with periodic coefficients

Bruce C. Berndt; 145-156

Sphere bundles over spheres as loop spaces $\mod p$

John Ewing; 157-162

Étude d’une classe d’applications liées à des homomorphismes d’algébres de fonctions, et généralisant les quasi conformes

Jacqueline Lelong-Ferrand; 163-186

Path lifting for discrete open mappings

Seppo Rickman; 187-191

Invariance of the nonstandard hulls of locally convex spaces

C. Ward Henson and L. C. Moore, Jr.; 193-205

Kähler manifolds as real hypersurfaces

Patrick J. Ryan; 207-213

Non-openness of loci in Noetherian rings

M. Hochster; 215-219

The $C\sp{1}$ embedding dimension of certain analytic sets

Joseph Becker and John Stutz; 221-231

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