Some \(L^{2}\) properties of semigroups of measures on Lie groups

DOI10.1007/s00233-008-9130-0zbMath1177.43002OpenAlexW2029690827WikidataQ115388247 ScholiaQ115388247MaRDI QIDQ734974

David Applebaum

Publication date: 14 October 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9130-0

zbMATH Keywords

convolution semigroupLévy-Khinchine-Hunt representationsquare integrable densities, continuous densities

Mathematics Subject Classification ID

Gaussian processes (60G15) Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Harmonic analysis on general compact groups (43A77)

Related Items

Markovian extensions of symmetric second order elliptic differential operators ⋮ Convolution of probability measures on Lie groups and homogenous spaces ⋮ Infinitely divisible central probability measures on compact Lie groups-regularity, semigroups and transition kernels ⋮ Transition densities and traces for invariant Feller processes on compact symmetric spaces ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups ⋮ Pseudo-differential operators and Markov semigroups on compact Lie groups

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