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 4

#### Publication Date: December 1945

Functions of exponential type, V

R. P. Boas, Jr.; 561-567

Lacunary power series and Peano curves

R. Salem and A. Zygmund; 569-578

Gâteaux differentiability and essential boundedness

Max A. Zorn; 579-583

$\varphi$-Contorian functions and their convex moduli

E. M. Beesley and A. P. Morse; 585-619

Involutorial space transformations associated with a linear congruence

M. L. Vest; 621-628

Regular solids and harmonic polynomials

E. F. Beckenbach and Maxwell Reade; 629-644

Further properties of Garvin’s $F$-series

Ella Marth; 645-653

An extension of some previous results on generalized continued fractions

B. H. Bissinger and F. Herzog; 655-662

Boundary alternation of monotone mappings

G. T. Whyburn; 663-667

Star center points of multivalent functions

M. S. Robertson; 669-684

Integral criteria for solutions of linear differential equations

William T. Reid; 685-694

The approximation of functions by typical means of their Fourier series

A. Zygmund; 695-704

The existence of solutions to Lagrange problems for multiple integrals

J. V. Lewis; 705-722