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 12, Number 1

Publication Date: March 1945

Theorems of composition for Dirichlet series

H. D. Brunk; 1-21

The moment problem of enumerating distributions

Aurel Wintner; 23-25

Abel transforms of Tauberian series

Ralph Palmer Agnew; 27-36

Solutions of systems of differential equations in the vicinity of branch points of the solutions, III

Jesse Pierce; 37-41

Conditions of applicability of the strong law of large number

A. A. Bobroff; 43-46

Smooth functions

A. Zygmund; 47-76

Strong summability of Fourier series

Fu Traing Wang; 77-87

Contributions to the theory of derivates

Anne F. O’Neill; 89-99

Regular transformations

Paul A. White; 101-106

The coefficients of schlicht functions, II

A. C. Schaeffer and D. C. Spencer; 107-125

Convergence factors for generalized integrals

R. L. Jeffery and D. S. Miller; 127-142

The idempotent elements of a commutative ring form a Boolean algebra; ring-duality and transformation theory

Alfred L. Foster; 143-152

Power series with integral coefficients

R. Salem; 153-172

Elliptic orthogonal polynomials

C. J. Rees; 173-187

Inequalities for Fourier transforms of positive functions

R. P. Boas, Jr. and M. Kac; 189-206

The value region problem for continued fractions

Ralph E. Lane; 207-216

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