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 29, Number 3

Publication Date: September 1962

Monotone (nonlinear) operators in Hilbert space

George J. Minty; 341-346

Characters and cross sections for certain semigroups

R. P. Hunter and N. J. Rothman; 347-366

Commutators of matrices with coefficients from the field of two elements

R. C. Thompson; 367-373

Integral geometry in the Minkowski plane

G. D. Chakerian; 375-381

Symmetry in spaces of entire functions

Louis de Branges; 383-392

A new convolution formula and some new orthogonal relations for inversion of series

H. W. Gould; 393-404

Generalized weighted $m$-${\rm th}$ power partitions over a finite field

John H. Hodges; 405-412

The homology of deleted products of trees

C. W. Patty; 413-428

Singular perturbations of a boundary value problem for a nonlinear system of differential equations

W. A. Harris, Jr.; 429-445

The growth of Sylvester’s cyclotomic numbers

L. K. Durst; 447-454

Implications of pointwise bounds on polynomials

R. M. Dudley and Burton Randol; 455-458

Normalcy in operator algebras

Richard V. Kadison; 459-464

Monotoneity of limit mappings

G. T. Whyburn; 465-470

Synthetic proof of some prime number inequalities

S. E. Mamangakis; 471-473

Generalization of an integral formula of Bateman

H. W. Gould; 475-479

The Scholz-Brauer problem in addition chains

A. A. Gioia, M. V. Subbarao and M. Sugunamma; 481-487

Multiple trigonometric series of a particular type

George Cross; 489-495