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 19, Number 4

Publication Date: December 1952

Congruences for the ménage polynomials

L. Carlitz; 549-552

Limits for the characteristic roots of a matrix. V.

Alfred Brauer; 553-562

Bounds for the characteristic roots of matrices with real elements

Gene W. Medlin; 563-565

Double Sturm-Liouville expansions

Leonard D. Berkovitz; 567-574

The kernel function in the geometry of matrices

Josephine Mitchell; 575-583

Exceptional values of entire and meromorphic functions

S. M. Shah; 585-593

Absolutely continuous product transformations of the plane

R. G. Helsel and N. Levine; 595-603

Laplace-transforms. (XI). The singularities of Laplace-transforms. (III)

Chuji Tanaka; 605-613

The existence of invariant subspaces

John Wermer; 615-622

Properties of regular rings

Mathews C. Waddell; 623-627

Concerning a problem of Souslin’s

Mary Ellen Estill; 629-639

Note on a theorem of Mackey

L. H. Loomis; 641-645

Summability: the inset, replaceable matrices, the basis in summability space

Albert Wilansky; 647-660

The geometry of normed lattices

L. M. Kelly; 661-669

The inversion of solutions of the heat equation for the infinite rod

Jerome Blackman; 671-682

Distributivity in lattices

R. P. Dilworth and J. E. McLaughlin; 683-693

Functional inequalities in the elementary theory of primes

E. M. Wright; 695-704