Sine functions on hypergroups

2015/11/05 by Żywilla Fechner, László Székelyhidi, Fechner, Żywilla +1
Mathematics · #20N20 #39B99 #43A62 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:20N20 #msc:39B99 #msc:43A62

paper · pdf · doi:10.48550/arxiv.1511.01694

arxiv created 2015/11/05 · arxiv updated 2015/11/06

Abstract

In a recent paper we introduced sine functions on commutative hypergroups. These functions are natural generalizations of those functions on groups which are products of additive and multiplicative homomorphisms. In this paper we describe sine functions on different types of hypergroups, including polynomial hypergroups, Sturm--Liouville hypergroups, etc. A non-commutative hypergroup is also considered.

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