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Subordination of symmetric quasi -regular Dirichlet forms

Albeverio, Sergio ; Rüdiger, Barbara

In: Random Operators and Stochastic Equations, 2005, vol. 13, no. 1, p. 17-38

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    Titre
    • Subordination of symmetric quasi -regular Dirichlet forms
    Auteur
    • Albeverio, Sergio. 1. Institut für Angewandte Mathematik der Universität, Bonn Wegelerstr. 6, D-53115 Bonn, Germany; SFB 256, SFB 611, SFB 237, Essen-Bochum-Düsseldorf, Germany
    • Rüdiger, Barbara. 2. BiBoS-Research Centre, D-33615 Bielefeld, Germany
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Random Operators and Stochastic Equations, 2005, vol. 13, no. 1, p. 17-38. Walter de Gruyter
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:301825
    Summary
    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