Shifted generalized Mehler semigroups on white noise functionals

• Autorzy: Cig Un , Lee Mi Ra

Identyfikatory

DOI

10.37190/0208-4147.00123

• Języki publikacji: EN

Abstrakty

EN

We study shifted generalized Mehler semigroups on white noise functionals. We prove characterizations of invariant (white noise) distribution and the covariance property for shifted generalized Mehler semigroups. Also, we prove a Liouville type property of a shifted generalized Mehler semigroup or its infinitesimal generator.

Słowa kluczowe

EN

white noise theory; shifted Mehler semigroup; generalized Mehler semigroup; invariant distribution; covariance property; Liouville type property

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2023
• Tom: Vol. 43, Fasc. 2
• Strony: 185--205
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Cig Un

• Department of Mathematics, Institute for Industrial and Applied Mathematics, Chungbuk National University, Cheongju 28644, Korea

autor

Lee Mi Ra

• Division of Industrial Mathematics, National Institute for Mathematical Sciences, Daejeon 34047, Korea

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