Extensions of Lévy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting

DOI10.1016/j.jfa.2005.12.015zbMath1105.60058OpenAlexW1972216947MaRDI QIDQ852610

Wei Sun, Zhi-Ming Ma, Ze-Chun Hu

Publication date: 15 November 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.12.015

zbMATH Keywords

quasi-regular

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Right processes (60J40)

Related Items (12)

Fukushima type decomposition for semi-Dirichlet forms ⋮ On representations of non-symmetric Dirichlet forms ⋮ Stochastic calculus for Markov processes associated with non-symmetric Dirichlet forms ⋮ \(h \hat h\)-transforms of positivity preserving semigroups and associated Markov processes ⋮ Stochastic integration with respect to additive functionals of zero quadratic variation ⋮ Stochastic calculus for Markov processes associated with semi-Dirichlet forms ⋮ On the generalized Feynman-Kac transformation for nearly symmetric Markov processes ⋮ On notions of harmonicity for non-symmetric Dirichlet form ⋮ Locality and domination of semigroups ⋮ Nonlinear filtering of semi-Dirichlet processes ⋮ Bivariate Revuz measures and the Feynman-Kac formula on semi-Dirichlet forms ⋮ FUKUSHIMA'S DECOMPOSITION FOR DIFFUSIONS ASSOCIATED WITH SEMI-DIRICHLET FORMS

Cites Work

• Stochastic calculus related to non-symmetric Dirichlet forms
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Functional calculus for Dirichlet forms
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• Composite media and asymptotic Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• A note on Beurling-Deny formulae in infinite dimensional spaces
• Markov processes associated with semi-Dirichlet forms
• Beurling-Deny formula of semi-Dirichlet forms
• Absolute continuity of symmetric Markov processes.
• Representation formulas for non-symmetric Dirichlet forms
• Seminar on potential theory. II
• Switched diffusion processes and systems of elliptic equations: a Dirichlet space approach
• Quasi-homeomorphisms of Dirichlet forms
• Dirichlet operators and the positive maximum principle
• On the quasi-regularity of semi-Dirichlet forms
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