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 24, Number 1

Publication Date: March 1957

$n$-cyclic elements. I

Arthur B. Simon; 1-7

The diagonalization of skew-Hermitian matrices

Mark Lotkin; 9-14

The normality of the product of two ordered spaces

B. J. Ball; 15-18

The existence of indefinite ternary genera of more than one class

Paul J. McCarthy; 19-24

Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations

Philip Hartman; 25-35

Bounds for exponential sums

L. Carlitz and S. Uchiyama; 37-41

A note on symmetric functions of eigenvalues

M. Marcus and R. Thompson; 43-45

Asymptotic development of the solution of Dirichlet’s problem at analytic corners

Wolfgang Wasow; 47-56

A theorem of Hamilton: counterexample to “A fixed point theorem for upper semi-continuous transformations on $n$-cells for which the images of points are non-acyclic continua,” vol. 14 (1947), pp. 689–693

C. E. Capel and W. L. Strother; 57

A theorem of Hamilton: Correction to “A fixed point theorem for upper semi-continuous transformations on $n$-cells for which the images of points are non-acyclic continua,” vol. 14 (1947), pp. 689–693

O. H. Hamilton; 59

A fixed point theorem for multi-valued functions

Barrett O’Neill; 61-62

Boundedness and convergence of solutions of $x''+cx'+g(x)=e(t)$

W. S. Loud; 63-72

A class of stationary processes and a central limit theorem

J. R. Blum and Murray Rosenblatt; 73-78

Weak boundary components of an open Riemann surface

Nevin Savage; 79-95

Local $C\sp{n}$ transformations of the real line

Shlomo Sternberg; 97-102

The summability factors of a Fourier series

B. N. Prasad and S. N. Bhatt; 103-117

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