Pseudo-differential operators and Markov processes
著者
書誌事項
Pseudo-differential operators and Markov processes
（Mathematical research = Mathematische Forschung, v. 94）
Akademie Verlag, c1996
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注記
Includes bibliographical references
内容説明・目次
内容説明
This study examines several cases in which pseudo-differential operators extend to to a generator of a Feller semi-group, hence to a generator of a Markov process. It also discusses how to derive properties of these Markov processes from properties of the symbol of the generator.
目次
- Markov processes and pseudo-dofferential operators - why?
- Levy processes and continuous negative definite functions
- pseudo-differential operators and Dirichlet forms
- constructing Feller semi-groups from pseudo-differential operators
- the martingale problem for pseudo-differential operators
- subordination in the sense of Bochner
- transition functions (existence, estimates)
- path properties and symbol
- Balayage theory and the Dirichlet problem for pseudo-differential operators.
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