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 14, Number 3

Publication Date: September 1947

Extending a metric

R. H. Bing; 511-519

Semi-automorphisms of rings

Irving Kaplansky; 521-525

Topological methods in valuation theory

Irving Kaplansky; 527-541

Sums of an even number of squares in $GF[p^n,x]$, II

Eckford Cohen; 543-557

Affine invariants of certain pairs of curves and surfaces

L. A. Santaló; 559-574

The location of the critical points of simply and doubly periodic functions

J. L. Walsh; 575-586

Two-dimensional concepts of bounded variation and absolute continuity

Tibor Radó; 587-608

A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order

S. Bergman and M. Schiffer; 609-638

An imbedding theorem for paracompact metric spaces

C. H. Dowker; 639-645

Over-convergence on the circle of convergence

Paul Erdös and George Piranian; 647-658

The integral transforms with iterated Laplace kernels

Harry Pollard; 659-674

Variation problems formulated in terms of the Weierstrass integral

George M. Ewing; 675-687

A fixed point theorem for upper semi-continuous transformations on $n$-cells for which the images of points are non-acyclic continua

O. H. Hamilton; 689-693

The boundedness of solutions of infinite systems of linear differential equations

Richard Bellman; 695-706

Cauchy products of divisor functions in $GF[p^n,x]$

L. Carlitz and Eckford Cohen; 707-722

The determination of connected linear sections

F. A. Valentine; 723-730

Some results on double Fourier series

K. Chandrasekharan and S. Minakshisundaram; 731-753

Multiplicative sequences and Töplerian $(L^2)$-bases

Philip Hartman; 755-767

Regular transformations on generalized manifolds

Paul A. White; 769-775

A special class of functions with positive real part in a half-plane

Paul I. Richards; 777-786

Duality in linear spaces

Richard Arens; 787-794

The chordal hypersurfaces of a rational curve

R. K. Wakerling; 795-802

Definite divergence of the conjugate Fourier series

Shirley K. Anderson; 803-805

Certain periodic sequences of Laplace of period six in ordinary space

S. Finikoff; 807-835

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