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Spherical spectral synthesis on hypergroups

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We introduce the basic concepts of spherical spectral synthesis on hypergroups, following the ideas of our paper [11]. The commutativity of the hypergroup X is not assumed, we suppose only… Click to show full abstract

We introduce the basic concepts of spherical spectral synthesis on hypergroups, following the ideas of our paper [11]. The commutativity of the hypergroup X is not assumed, we suppose only that (X,K) is a Gelfand pair, that is, K is a compact subhypergroup in X and the convolution algebra of all K -invariant compactly supported complex Borel measures on X is commutative.

Keywords: synthesis hypergroups; spherical spectral; spectral synthesis

Journal Title: Acta Mathematica Hungarica
Year Published: 2020

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