Levi-Civita functional equations and the status of spectral synthesis on semigroups
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DOI: 10.1007/s00233-021-10211-z
Abstract: We show, contrary to some published statements, that spectral synthesis does not generally hold for commutative semigroups that are not groups. On the positive side we prove that it holds if the semigroup is a… read more here.
Keywords: synthesis; semigroups prime; spectral synthesis; civita functional ... See more keywords
Spherical spectral synthesis on hypergroups
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DOI: 10.1007/s10474-020-01068-9
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… read more here.
Keywords: synthesis hypergroups; spherical spectral; spectral synthesis;