Hypergroups of compact type

Frank Filbir, Rupert Lasser, Ryszard Szwarc

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We consider commutative hypergroups with translation operators which are compact on L2 resp. L1. It will be shown that such hypergroups are necessarily discrete and that in the case of compact translations on L1 the support of the Plancherel measure coincides with the set of all characters and the hypergroup must be symmetric. Furthermore we will show that a certain type of Reiter's condition is fulfilled.

Original languageEnglish
Pages (from-to)205-214
Number of pages10
JournalJournal of Computational and Applied Mathematics
Volume178
Issue number1-2 SPEC. ISS.
DOIs
StatePublished - 1 Jun 2005
Externally publishedYes

Keywords

  • Approximate identities
  • Compact type hypergroups
  • Orthogonal polynomials

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