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 15, Number 1
Publication Date: March 1948
Summability of Fourier series by Riesz’s logarithmic means, III
Fu Traing Wang; 5-10
Asymptotic integrations of the adiabatic oscillator in its hyperbolic range
Aurel Wintner; 55-67
Invariant characterizations of two-dimensional affine and metric spaces
Jack Levine; 69-77
The asymptotic nature of solutions of linear systems of differential equations
Norman Levinson; 111-126
A new criterion for the extension of rectangle functions
O. W. Rechard and P. V. Reichelderfer; 151-158
A new geometrical interpretation of the Lebesgue area of a surface
E. J. Mickle and T. Radó; 169-180
A special method of successive approximations for Fredholm integral equations
Hans Bückner; 197-206
Power series developments for the equations of a general analytic variety in hyperspace
P. O. Bell; 207-218
The number of representations of a polynomial in certain special quadratic forms
L. Carlitz and Eckford Cohen; 219-228
The algebraic independence of arithmetic functions (I) Multiplicative functions
Richard Bellman and Harold N. Shapiro; 229-235
Duke Mathematical Journal