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Search: MSC category 43A62 ( Hypergroups )

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1. CJM 1999 (vol 51 pp. 96)

Rösler, Margit; Voit, Michael
Partial Characters and Signed Quotient Hypergroups
If $G$ is a closed subgroup of a commutative hypergroup $K$, then the coset space $K/G$ carries a quotient hypergroup structure. In this paper, we study related convolution structures on $K/G$ coming from deformations of the quotient hypergroup structure by certain functions on $K$ which we call partial characters with respect to $G$. They are usually not probability-preserving, but lead to so-called signed hypergroups on $K/G$. A first example is provided by the Laguerre convolution on $\left[ 0,\infty \right[$, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair $\bigl( U(n,1), U(n) \bigr)$ are discussed.

Keywords:quotient hypergroups, signed hypergroups, Laguerre convolution, Jacobi functions
Categories:43A62, 33C25, 43A20, 43A90

2. CJM 1998 (vol 50 pp. 897)

Bloom, Walter R.; Xu, Zengfu
Fourier multipliers for local hardy spaces on Chébli-Trimèche hypergroups
In this paper we consider Fourier multipliers on local Hardy spaces $\qin$ $(0


Keywords:Fourier multipliers, Hardy spaces, hypergroup
Categories:43A62, 43A15, 43A32


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