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 18, Number 2

Publication Date: June 1951

The comparison of spectra belonging to potentials with a bounded difference

C. R. Putnam; 267-273

Surface integrals of the Weierstrass type

George M. Ewing; 275-286

Decompositions induced under finite-to-one closed mappings

Lewis M. Fulton, Jr.; 287-295

A composition theorem for asymptotic series

S. Mandelbrojt and H. D. Brunk; 297-306

Probability in dynamical transformation groups

Richard R. Bernard; 307-319

A topological characterization of a class of affine transformations

Charles J. Titus; 321-330

Endomorphisms of lattices

L. Aileen Hostinsky; 331-342

Some studies on cyclic determinants

Oystein Ore; 343-354

Note on an infinite integral

Alexander M. Ostrowski; 355-359

Second order determinants of Legendre polynomials

George E. Forsythe; 361-371

Normal equations and resolvents in fields of characteristic $p$

James Richard Garrett; 373-384

Remarks on the isoperimetric inequality

R. G. Helsel; 385-390

The volume of a certain matric domain

H. S. A. Potter; 391-397

Sums of two squares in a quadratic field

Gordon Pall; 399-409

Pseudo-conformal transformations onto circular domains

George Springer; 411-424

Sums of products of polynomials in a Galois field

Eckford Cohen; 425-430

Rings with ideal nuclei

Daniel Zelinsky; 431-442

Convex sets in linear spaces

V. L. Klee, Jr.; 443-466

Some results concerning homogeneous plane continua

Herman J. Cohen; 467-474

Self-dual postulates for $n$-dimensional geometry

Martinus Esser; 475-479

Asymptotic relations in topological groups

W. H. Gottschalk and G. A. Hedlund; 481-485

Conjugate nets in three- and four-dimensional spaces

Chuan-Chih Hsiung; 487-499

Sums of random integers reduced modulo $m$

A. Dvoretzky and J. Wolfowitz; 501-507

Erweiterung des Vierscheitelsatzes auf dreidimensionale Kurven

Arthur Moór; 509-516

Identities involving the coefficients of certain Dirichlet series

T. M. Apostol; 517-525

The partial sums of second order of the geometric series

M. Schweitzer; 527-533

Special conformal mappings

L. Fejér and G. Szegö; 535-548

Regions of flatness for analytic functions and their derivatives

S. Mandelbrojt and F. E. Ulrich; 549-556

Geodesic coordinates and rest systems for general linear connections

M. J. Pinl; 557-562

A new implication of the Young-Pollard convergence criteria for a Fourier series

Marston Morse and William Transue; 563-571

The zeros of approximating polynomials and the canonical representation of an entire function

Jacob Korevaar; 573-592

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