Vol. 113, No. 1, 1984

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Riesz sets and a theorem of Bochner

H. Alan MacLean

Vol. 113 (1984), No. 1, 115–135
Abstract

Conditions are developed from which one may infer that a measurable subset S of an LCA group Ĝ is a Riesz set, or in general, a small p set. Subsets of inverse images of small p sets under continuous homomorphisms which are small q sets for some q are investigated. These considerations yield extensions to LCA groups of Bochner’s version of the F. and M. Riesz theorem.

Mathematical Subject Classification 2000
Primary: 43A46
Secondary: 43A25
Milestones
Received: 18 January 1982
Published: 1 July 1984
Authors
H. Alan MacLean