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Article
Central Interpolation Sets for Compact Groups and Hypergroups
Glasgow Mathematical Journal
  • David E. Grow, Missouri University of Science and Technology
  • Kathryn E. Hare
Editor(s)
Strachen, I. A. B.
Abstract

We prove that every infinite subset of the dual of a compact, connected group contains an infinite, central, weighted I0 set. This yields a new proof of the fact that the duals of such groups admit infinite central p-Sidon sets for each p > 1. We also establish the existence of infinite, weighted I0 sets in the duals of many compact, abelian hypergroups.

Department(s)
Mathematics and Statistics
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2009 Cambridge University Press, All rights reserved.
Publication Date
1-1-2009
Publication Date
01 Jan 2009
Citation Information
David E. Grow and Kathryn E. Hare. "Central Interpolation Sets for Compact Groups and Hypergroups" Glasgow Mathematical Journal (2009) ISSN: 0017-0895
Available at: http://works.bepress.com/david-grow/1/