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 28, Number 4

Publication Date: December 1961

Unitary functions $(\mod r)$

Eckford Cohen; 475-485

A factorization property of certain Legendre polynomials

P. J. McCarthy; 487-490

Cayley diagrams of binary systems

R. Artzy; 491-495

Density topology and approximate continuity

Casper Goffman, C. J. Neugebauer and T. Nishiura; 497-505

Generalized condensation points

N. F. G. Martin; 507-514

The structure of decomposable snakelike continua

Lida K. Barrett; 515-522

Some generating functions of Weisner

L. Carlitz; 523-529

A bilinear generating function for the Hermite polynomials

L. Carlitz; 531-535

Permutations of Taylor coefficients of bounded functions

Walter Rudin; 537-543

A note on torus knots and links determined by their groups

Lee Neuwirth; 545-551

Periodic automorphisms of groups and knots

H. F. Trotter; 553-557

Orthogonal saw-tooth functions

R. J. Duffin; 559-561

The unitary dilation of a contraction operator

Israel Halperin; 563-571

The lexicographic product of graphs

Gert Sabidussi; 573-578

Factorization and lattice theorems for a bounded principal ideal domain

Edmund Feller; 579-585

Continuity of homomorphisms

R. M. Dudley; 587-594

Stability of certain quasi-open mappings

Robert H. Kasriel; 595-605

Light open maps on $n$-manifolds. II

P. T. Church and E. Hemmingsen; 607-623

Dimension preserving compactifications allowing extensions of continuous functions

A. B. Forge; 625-627

Special homeomorphisms in the functional space ${\cal C}(X,I_{2n+1})$

Arthur L. Gropen; 629-637

Properties of certain non-continuous transformations

Paul E. Long; 639-645

Errata: “A series transformation for finding convolution identities,” vol. 28 (1961), pp. 193–202

H. W. Gould; 647

Errata: “Permutations with comparable sets of invariant means,” vol. 27 (1960), pp. 467–479

David Dean and Ralph A. Raimi; 647

Errata: “Coefficient identities derived from expansions of elementary symmetric function products in terms of power sums,” vol. 28 (1961), pp. 89–106

Jack Levine; 647

Errata: “Representations of even functions $(\mod r)$. III. Special topics,” vol. 26 (1959), pp. 491–500

Eckford Cohen; 647

Errata: “Unique continuation for parabolic differential equations and inequalities,” vol. 28 (1961), pp. 369–382

M. Lees and M. H. Protter; 647

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