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 29, Number 4

Publication Date: December 1962

Analytic solutions of the heat equation

D. V. Widder; 497-503

Pseudo-complements in semi-lattices

Orrin Frink; 505-514

Interval functions and Hellinger integral

William D. L. Appling; 515-520

Generating functions for powers of certain sequences of numbers

L. Carlitz; 521-537

A generalized Lebesgue covering theorem

Mohammed Jawad Saadaldin; 539-542

Two-point boundary problems for linear self-adjoint differential equations of the fourth order with middle term

John H. Barrett; 543-554

The structure of some induced representations

Adam Kleppner; 555-572

Unitary dilations which are orthogonal bilateral shift operators

Israel Halperin; 573-580

The maximum number of zeros in the powers of an indecomposable matrix

Marvin Marcus and Frank May; 581-588

Two problems of Hewitt

Douglas R. Anderson and Mary Powderly; 589-590

Ordinary linear differential operators of minimum norm

William T. Reid; 591-606

Composition rings

Irving Adler; 607-623

A corollary of the Goldbach conjecture

Eckford Cohen; 625-629

Automorphisms of Abelian groups induced by involutory matrices

Jack Levine and Robert R. Korfhage; 631-645

Fixed points of continuous mappings into Euclidean $n$-space

Alexander Abian and Arthur B. Brown; 647-651

Fixed points and covering under continuous mappings of a spherical shell

Alexander Abian and Arthur B. Brown; 653-655

Some global properties of the space of homeomorphisms on a disc with holes

Mary-Elizabeth Hamstrom; 657-662

Almost periodic solutions and critical roots

Jane Cronin; 663-669

Lattice-equivalence of topological spaces

W. J. Thron; 671-679

Errata: “Intrinsic functions on matrices,” vol. 28 (1961), pages 291–300

R. F. Rinehart; 681

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