Continuity and representation of Gaussian Mehler semigroups

DOI10.1023/A:1008799213878zbMath0974.47036MaRDI QIDQ1841268

J. M. A. M. van Neerven

Publication date: 21 June 2001

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

zbMATH Keywords

Mehler semigroupprobability measuresreal Banach spacecontinuous semigroup of linear operatorspositive symmetric operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (6)

The central limit theorem for the Smoluchovski coagulation model ⋮ Nonlinear Markov semigroups and interacting Lévy type processes ⋮ GENERALIZED MEHLER SEMIGROUPS AND ORNSTEIN–UHLENBECK PROCESSES ARISING FROM SUPERPROCESSES OVER THE REAL LINE ⋮ Skew convolution semigroups and affine Markov processes ⋮ Branching processes with immigration and related topics ⋮ Ornstein–Uhlenbeck operators and semigroups

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