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Spherical spectral synthesis on hypergroups

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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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References

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  12. Székelyhidi, L.: Spectral synthesis and Euclidean motions. Math. Pannon. 26, 33–46 (2017)

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  1. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    L. Székelyhidi

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  1. L. Székelyhidi
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Correspondence to L. Székelyhidi.

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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

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