Generalized convolutions and the Levi-Civita functional equation
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DOI: 10.1007/s00010-018-0578-z
Abstract: In Borowiecka et al. (Bernoulli 21(4):2513–2551, 2015) the authors show that every generalized convolution can be used to define a Markov process, which can be treated as a Lévy process in the sense of this convolution.… read more here.
Keywords: civita functional; convolutions levi; functional equation; generalized convolutions ... See more keywords
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