LÉVY–DIRICHLET FORMS-Reference-Cited by-同舟云学术

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LÉVY–DIRICHLET FORMS

Published:2006-09 Issue:03 Volume:09 Page:435-449
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ALBEVERIO S.¹²³,BELOPOLSKAYA Ya.⁴,FELLER M.⁵

Affiliation:

1. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, Germany

2. SFB 256, Bonn, BiBoS, Bielefeld - Bonn, Germany

3. CERFIM, Locarno and USI, Switzerland

4. St. Petersburg State University for Architecture and Civil Engineering, 2-ja Krasnoarmejskaja 4, 198005, St. Petersburg, Russia

5. UkrNIIRESURS, Bozenko 84, Kiev GSP 03680, Ukraine

Abstract

We construct a Dirichlet form associated with the infinite dimensional Lévy–Laplace operator. We show that there exists a natural connection between this form and a Markov process.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025706002470

Reference20 articles.

1. Dirichlet forms and diffusion processes on rigged Hilbert spaces

2. Capacity and quantum mechanical tunneling

3. S. Albeverio and S. Kusuoka, Ideas and Methods in Quantum and Statistical Physics (Oslo 1988), eds. S. Albeverio (Cambridge Univ. Press) pp. 301–330.

4. Dirichlet forms and white noise analysis

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