SOME FELLER SEMIGROUPS ON GENERATED BY PSEUDO‐DIFFERENTIAL OPERATORS

DOI10.1112/S002557931500011XzbMath1330.35556OpenAlexW1841554319MaRDI QIDQ5255886

Chenglin Shen, Kristian P. Evans, Niels Jacob

Publication date: 22 June 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002557931500011x

zbMATH Keywords

quadratic formFeller semigrouppseudodifferential operatornegative definite symbolFeller processanalysis on groupsHille-Yosida-Ray theorem

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

Related Items (1)

Geometric approximations to transition densities of jump-type Markov processes

Cites Work

• A class of Feller semigroups generated by pseudodifferential operators
• A geometric interpretation of the transition density of a symmetric Lévy process
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• Q‐matrices as pseudo‐differential operators with negative definite symbols
• Stochastic Differential Equations with Markovian Switching

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