Representations of hypergroups and harmonic analysis (Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis)

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  • Representations of hypergroups and harmonic analysis

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Abstract

The purpose of the present research is to investigate a hypergroup associated with irreducible characters of a compact hypergroup H and a closed subhypergroup H_{0} of H with |H/H_{0}|<+infty. This research is a joint work with Herbert Heyer, Tatsuya Tsurii and Satoe Yamanaka. The convolution of this hypergroup is introduced by inducing irreducible characters of H_{0} to H and by restricting irreducible characters of H to H_{0}. The method of proof relies on the notion of an induced character and an admissible hypergroup pair.

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  • RIMS Kokyuroku

    RIMS Kokyuroku 2031 167-179, 2017-05

    京都大学数理解析研究所

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