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 4

Publication Date: December 1973

A probabilistic interpretation of Eulerian numbers

S. Tanny; 717-722

Enumeration of permutations and sequences with restrictions

L. Carlitz, Richard Scoville and Theresa Vaughan; 723-741

On the generalized and the $H$-shape theories

Thomas J. Sanders; 743-754

Banach spaces of $l\sp{p}$ valued holomorphic mappings

James M. Westall, Jr.; 755-763

Distributions of exponential growth and their Fourier transforms

Richard D. Carmichael; 765-783

Complications of semicontinuity in $C\sp{\ast}$-algebra theory

Charles A. Akemann and Gert K. Pedersen; 785-795

Some characterizations of complex space forms

Bang-yen Chen and Koichi Ogiue; 797-799

Fermat’s conjecture, Roth’s theorem, Pythagorean triangles, and Pell’s equation

C. J. Everett; 801-804

Equivariant cobordism and homotopy type

Edward C. Hook; 805-814

On the existence of nontrivial recurrent motions

Robert J. Sacker and George R. Sell; 815-819

$K$-reflexivity in finite dimensional spaces

Edward A. Azoff; 821-830

A Hopf algebra approach to the Krein duality theorem

S. A. Selesnick; 831-838

A note on local solvability

C. Hoel; 839-843

Duals of Fréechet spaces and a generalization of the Banach-Dieudonnée theorem

Kalman Brauner; 845-855

Positive quasi-orders on semigroups

Mohan S. Putcha; 857-869

Small configurations and their arrays

Judith Q. Longyear; 871-876

Conformal mappings of domains bounded by quasiconformal circles

Donald K. Blevins; 877-883

Some new inverse series relations

H. W. Gould and L. C. Hsu; 885-891

Some inverse relations

L. Carlitz; 893-901

On centrally splitting

Robert L. Bernhardt; 903-905

On addition chains $1(mn)\leq 1(n)-b$ and lower bounds for $c(r)$

Edward G. Thurber; 907-913

Kernels of measures on completely regular spaces

Judith Reeves McKinney; 915-923

Three invariants for complex manifolds

Steven L. Jordan; 925-936

Topological semigroups, sets of generators, and controllability

Ronald Hirschorn; 937-947

Transformation of arithmetic functions

L. Carlitz and M. V. Subbarao; 949-958

Erratum: “Orthocompactness and strong čech completeness in Moore spaces,” vol. 39 (1972) pp. 753–766

Peter Fletcher and William F. Lindgren; 959

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