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 27, Number 4

Publication Date: December 1960

Differentiability and analyticity of functions in linear algebras

Anthony Trampus; 431-441

Some orthogonal polynomials related to elliptic functions

L. Carlitz; 443-459

Division rings containing a real closed field

Murray Gerstenhaber and C. T. Yang; 461-465

Permutations with comparable sets of invariant means

David Dean and Ralph A. Raimi; 467-479

New cases of irreducibility for Legendre polynomials. II

J. H. Wahab; 481-482

Linear differential equations and convex mappings

Paul R. Beesack; 483-495

Determination of certain roots of unity in the theory of automorphic forms of dimension zero

Marvin Isadore Knopp; 497-506

Natural sums and direct decompositions

J. R. Isbell; 507-512

Some embeddings, recurrence properties, and the Birkhoff-Markov theorem for transformation groups

F. J. Hahn; 513-525

Light open maps on $n$-manifolds

Philip T. Church and Erik Hemmingsen; 527-536

Multiplication formulas for generalized Bernoulli and Euler polynomials

L. Carlitz; 537-545

Bounds for the maximal characteristic root of a non-negative irreducible matrix

Alexander Ostrowski and Hans Schneider; 547-553

Accumulability and infinite matrices

Edward C. Posner; 555-560

Widder’s inversion formula for the Lambert transform

W. B. Pennington; 561-568

Positive definite functions and induced representations

L. H. Loomis; 569-579

Asymptotic expansion of double Fourier transforms

R. J. Duffin and D. H. Shaffer; 581-596

Decomposition of linear functionals on Riesz spaces

Hugh Gordon; 597-606

A generalization of the trace concept

Charles J. A. Halberg, Jr.; 607-617

The vanishing of the homogeneous product sum on three letters

Morgan Ward; 619-624

Structure of measurable transformations

Fred B. Wright; 625-628

Errata: “Note on the class number of quadratic fields,” vol. 22 (1955), pp. 589–594

L. Carlitz; 629

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