Some remarks on representations of non-symmetric local Dirichlet forms. (English) Zbl 1199.31021
Bakry, D. (ed.) et al., Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Bucharest: Theta (ISBN 978-973-87899-5-1). Theta Series in Advanced Mathematics 11, 145-156 (2009).
Summary: We give some remarks on the structure of non-symmetric local Dirichlet forms. We first present LeJan’s transformation rule for their co-symmetric parts. Combined with the classical LeJan’s formula, it shows that essentially any local Dirichlet form must be given by differential operators (up to a killing part). Then, as applications, we use this formula to give explicit representations for local Dirichlet forms on both infinite and finite dimensional state spaces.
For the entire collection see [Zbl 1170.60002].
For the entire collection see [Zbl 1170.60002].
