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 3, Number 2

Publication Date: June 1937

Summability of double Fourier series

J. J. Gergen; 133-148

Structures and group theory. I

Oystein Ore; 149-174

A class of linear groups with integral coefficients

Arthur B. Coble; 175-199

Commutator algebra of a finite group of collineations

Hermann Weyl; 200-212

Taylor’s series of entire functions of smooth growth

N. Wiener and W. T. Martin; 213-223

Summability of conjugate derived series

W. C. Randels; 224-227

Orthogonal polynomials on a plane curve

Dunham Jackson; 228-236

The classes of integral sets in a quaternion algebra

Claiborne G. Latimer; 237-247

The ergodic function of Birkhoff

Monroe H. Martin; 248-278

Note on the simultaneous orthogonality of harmonic polynomials on several curves

J. L. Walsh and G. M. Merriman; 279-288

Certain ternary cubic arithmetical forms

E. T. Bell; 289-293

Elementary proofs of some known theorems of the theory of complex Euclidean spaces

M. H. Stone and J. D. Tamarkin; 294-302

The structure of certain rational infinite algebras

Otto F. G. Schilling; 303-310

An extended arithmetic

Garrett Birkhoff; 311-316

The imbedding of Riemann spaces in the large

Carl B. Allendoerfer; 317-333

Remark on the theorem of Green

S. Bochner; 334-338

Analytic mapping of compact Riemann spaces into Euclidean space

S. Bochner; 339-354

Polar correspondence with respect to a convex region

Fritz John; 355-369

Interior transformations on compact sets

G. T. Whyburn; 370-381

Betti numbers of $3$-fold symmetric products; a correction: “On the homology characters of symmetric products,” vol. 1 (1935), pp. 50–69

M. Richardson; 382