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On the character space of commutative hypergroups. (English) Zbl 1012.43003
This is a research-type note on the dual space and the support of the Plancherel measure of a commutative hypergroup. In particular, dual signed translation operators in an \(L^2\)-sense are introduced and studied. This paper is definitely no introduction or survey; unfortunately, it also does not discuss typical known examples for phenomena which are discussed in the paper.

MSC:
43A62 Harmonic analysis on hypergroups
43A40 Character groups and dual objects
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