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