Semi-Dirichlet Forms and Markov Processes (Hardcover)

Chapter 1Dirichlet forms 1.1 Semi-Dirichlet forms and resolvents 1.2 Closability and regular Dirichlet forms 1.3 Transience and recurrence of Dirichlet forms 1.4 An auxiliary bilinear forms 1.5 Examples Chapter 2 Some analytic properties of Dirichlet forms 2.1 Capacity 2.2 Qasi-continuity 2.3 Potential of measures 2.4 An orthogonal decomposition of Dirichlet forms Chapter 3 Markov processes 3.1 Hunt processes 3.2 Excessive functions and negligible sets 3.3 Hunt processes associated with Dirichlet forms 3.4 Negligible sets of Hunt processes 3.5 Decomposition of Dirichlet forms Chapter 4 Additive functionals and smooth measures 4.1 Positive continuous additive functionals 4.2 Dual PCAFs and duality measures 4.3 Time changes and killings by PCAFs Chapter 5 Martingale AFs and AFs of zero energy 5.1 Decomposition of AFs 5.2 Beurling-Deny type decompositions 5.3 CAFs of zero energy 5.4 Martingale AFs of local Dirichlet forms 5.5 Transformations by multiplicative functionals 5.6 Conservativeness and recurrence of Dirichlet forms Chapter 6 Time dependent Dirichlet forms 6.1 Time dependent Dirichlet forms and associated resolvents 6.2 Some parabolic potential theory 6.3 Associated space-time processes 6.4 Additive functionals and associated measures 6.5 Some stochastic calculus