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A general criterion for the existence of infinite Sidon sets

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

David C. Wilson
David C. Wilson
Affiliation:
School of MathematicsUniversity of New South WalesKensington, N.S.W. 2033, Australia
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Abstract

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Let G be any compact group, connected or disconnected, with dual object Ĝ. We define a family of local Sidon subsets of Ĝ in terms of allowable images of the representations. Using this family we develop a straightforward criterion whereby the existence of infinite Sidon subsets of Ĝ may be decided.

Keywords

Sidon setlacunary setFTR setrepresentations of compact groups.

MSC classification

Secondary: 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 1 , August 1988 , pp. 11 - 29
Copyright
Copyright © Australian Mathematical Society 1988

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