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- Title
Subordination of symmetric quasi -regular Dirichlet forms.
- Authors
Albeverio, Sergio; Rüdiger, Barbara
- Abstract
The generators of subordinate symmetric (sub-) Markov processes and their domains are exhibited by using spectral theory. The construction preserves sets of essential self -adjointness of the generators. General non local symmetric quasi regular Dirichlet forms and the corresponding processes (with jumps) are shown to be constructible by subordination of processes properly associated to symmetric quasi regular Dirichlet forms (in particular local ones). It is proven that subordination preserves the property of a process to be a symmetric m-tight special standard process. A characterization of the subordinate processes in terms of solutions of the corresponding martingale problems is obtained.
- Subjects
MARKOV processes; SPECTRAL theory; QUASIANALYTIC functions; DIRICHLET forms; STOCHASTIC processes
- Publication
Random Operators & Stochastic Equations, 2005, Vol 13, Issue 1, p17
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/1569397053300937