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 39, Number 4

Publication Date: December 1972

Up-down sequences

L. Carlitz and Richard Scoville; 583-598

Absolute convergence of Fourier series on certain groups

C. W. Onneweer; 599-609

Product spaces with compactness-like properties

J. E. Vaughan; 611-617

Orientability of bundles

Richard R. Patterson and Robert E. Stong; 619-622

Operations in $\mod p$ connective $K$ theory and the $J$ homomorphism

Larry Smith; 623-631

Going down

Stephen McAdam; 633-636

Generalized frieze patterns

Craig M. Cordes and D. P. Roselle; 637-648

On a conjecture of Mahler in the geometry of numbers

A. C. Woods; 649-655

Concerning costability of compact semigroups

August Y. W. Lau; 657-664

Concordance of diffeomorphisms and the pasting construction

Robert Wells; 665-693

The number of $n\times n$ matrices of rank $r$ and trace $\alpha$ over a finite field

Philip G. Buckhiester; 695-699

A note on principal constructions

Byron Drachman; 701-710

Sets in $C(X)$ analytically equivalent to the open ball

H. E. Warren; 711-717

Pushing an $(n-l)$-sphere in $S^n$ almost into its complement

Robert J. Daverman; 719-723

Extending self homeomorphisms of a wild sphere described by Gillman

C. E. Burgess; 725-728

Regularity and dispersion in countable spaces

V. Kannan and M. Rajagopalan; 729-734

Perturbation of non-normal isometries

Evangelos K. Ifantis; 735-736

Vitushkin’s localization operator and holomorphic functions in polydiscs

Wayne Cutrer; 737-744

On the uniqueness of the Heisenberg commutation relations

Marc A. Rieffel; 745-752

Orthocompactness and strong Čech completeness in Moore spaces

Peter Fletcher and William F. Lindgren; 753-766

Factorizations of bounded holomorphic functions

P. R. Ahern and Walter Rudin; 767-777

Products of shifts

P. R. Halmos; 779-787

Partitions and Ramanujan’s continued fraction

M. D. Hirschhorn; 789-791

Some continued fraction formulas

L. Carlitz; 793-799

Some simultaneous equations in matrices

J. L. Brenner; 801-805

On a class of arithmetical functions

Jean-Marie De Koninck; 807-818

Addendum to: “$FK$-spaces containing $c_0$”

G. Bennett and N. J. Kalton; 819-821

Errata: “Nonlinear, analytic partial differential equations with generalized Goursat data,” vol. 37 (1970) pp. 367–376

David Colton and Robert P. Gilbert; 823

Errata: “A cut point theorem for plane continua,” vol. 38 (1971) pp. 509–512

Charles L. Hagopian; 823

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