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Moment functions on hypergroup joins

Kedumetse Vati and László Székelyhidi

Abstract

Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences. In a former paper we studied some function classes on hypergroup joins which play a basic role in spectral synthesis. Moment functions are also important basic blocks of spectral synthesis. All these functions can be characterized by well-known functional equations. In this paper we describe generalized moment function sequences on hypergroup joins.

MSC 2010: 20N20; 39B99

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Received: 2018-02-07
Revised: 2018-04-08
Accepted: 2018-04-12
Published Online: 2018-05-03
Published in Print: 2019-07-01

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