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.
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Székelyhidi, L. Spherical spectral synthesis on hypergroups. Acta Math. Hungar. 163, 247–275 (2021). https://doi.org/10.1007/s10474-020-01068-9
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DOI: https://doi.org/10.1007/s10474-020-01068-9