Lévy-Dirichlet forms. II

Authors

  • M. N. Feller Institut fur Angewandte Mathematik, Universitat Bonn, Wegelerstr. 6, D-53115, Bonn, Germany; SFB 611, Bonn, Germany; BiBoS, Bielefeld, Germany; IZKS; CERFIM, Locarno, Switzerland; Accademia di Architettura, Mendrisio, Switzerland
  • Ya. I. Belopolskaya St.~Petersburg State University for Architecture and Civil Engineering, 2-ja Krasnoarmejskaja 4, St. Petersburg, 198005, Russia https://orcid.org/0000-0002-8303-2571
  • S. Albeverio Malinovskogo 11, ap.~399, Kyiv, 04212, Ukraine 

DOI:

Keywords:

Levy Laplacians, Dirichlet forms, symmetrized L´evy operator, diffusionprocesses

Abstract

A Dirichlet form associated with the infinite dimensional symmetrized Levy-Laplace operator is constructed. It is shown that there exists a natural connection between this form and a Markov process. This correspondence is similar to that studied in a previous paper by the same authors for the non-symmetric Levy Laplacian.

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Published

2006-12-25

Issue

Vol. 12 No. 4 (2006)

Section

Articles

How to Cite

Feller, M. N., et al. “Lévy-Dirichlet Forms. II”. Methods of Functional Analysis and Topology, vol. 12, no. 4, Dec. 2006, pp. 302-14, https://zen.imath.kiev.ua/index.php/mfat/article/view/324.