POSITIVE AND NEGATIVE DEFINITE FUNCTIONS ON THE DUAL SPACE OF A COMMUTATIVE HYPERGROUP

DOI10.1524/anly.1989.9.4.371zbMath0697.43006OpenAlexW2314070656MaRDI QIDQ3473624

Michael Voit

Publication date: 1989

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.1989.9.4.371

zbMATH Keywords

Fourier transformationsinfinitely divisible probability measuresnegative definite functionscommutative hypergroupbounded measurescontinuous convolution semigroupstrongly positive definite functions

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Measures of finite energy on a commutative hypergroup ⋮ On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures ⋮ Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups

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