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 5, Number 4

Publication Date: December 1939

The algebraic theory of diabolic magic squares

Barkley Rosser and R. J. Walker; 705-728

A matrix theory of $n$-dimensional measurement

Everett H. Larguier, S. J.; 729-739

Limit points of sequences and their transforms by methods of summability

Henry G. Barone; 740-752

Functions of bounded variation and non-absolutely convergent integrals in two or more dimensions

R. L. Jeffery; 753-774

Cayley numbers and normal simple Lie algebras of type $G$

N. Jacobson; 775-783

The first canonical pencil

P. O. Bell; 784-788

The non-existence of a certain type of continuous transformation

O. G. Harrold, Jr.; 789-793

Formal power series transformations

Daniel C. Lewis, Jr.; 794-805

Topological and metrical points of view in the theory of sets and functions of real variables

A. Denjoy; 806-813

Conformal mapping of multiply connected domains

R. Courant; 814-823

Duality and commutativity of groups

Reinhold Baer; 824-838

Algebras defined by groups whose members are of the form $A^xB^y$

James Byrnie Shaw; 839-855

The Jacobi condition for the double integral problem of the calculus of variations

William T. Reid; 856-870

Groups and Abelian groups in terms of negative addition and negation

B. A. Bernstein; 871-874

Contributions to the theory of Hermitian series

Einar Hille; 875-936

A uniqueness theorem for analytic almost-periodic functions

S. Bochner; 937-940

Some sums involving polynomials in a Galois field

L. Carlitz; 941-947

Integers which are not represented by certain ternary quadratic forms

R. D. James; 948-962

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