On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert space

DOI10.1007/s11118-006-9028-yzbMath1112.60044OpenAlexW2003234645MaRDI QIDQ867116

David Applebaum

Publication date: 14 February 2007

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-006-9028-y

zbMATH Keywords

Ornstein-Uhlenbeck processmixed topology\(H\)-valued Lévy processauxiliary semigroupcylinder functiongeneralized Mehler semigroupKolmogorov-Lévy operatoropertor-selfdecomposabilitypseudo-Feller propertyquasi-locally equicontinuous semigroup

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random operators and equations (aspects of stochastic analysis) (60H25) Groups and semigroups of linear operators, their generalizations and applications (47Dxx) Differential equations in abstract spaces (34Gxx)

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