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Zbl 1012.43003
Lasser, R.
On the character space of commutative hypergroups. (English)
[J] Jahresber. Dtsch. Math.-Ver. 104, No.1, 3-16 (2002). ISSN 0012-0456

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.
[Michael Voit (Tübingen)]
MSC 2000:
*43A62 Hypergroups (abstract harmonic analysis)
43A40 Character groups and dual objects

Keywords: dual convolution; support of the Plancherel measure; commutative hypergroup; dual signed translation operators

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