Preface -- Notation -- Part I. Dirichlet forms -- Chapter 1. Basic theory of Dirichlet forms -- 1.1. Basic notions -- 1.2. Examples -- 1.3. Closed forms and semigroups -- 1.4. Dirichlet forms and Markovian semigroups -- 1.5. Transience of Dirichlet spaces and extended Dirichlet spaces -- 1.6. Global properties of Markovian semigroups -- Chapter 2. Potential theory for Dirichlet forms -- 2.1. Capacity and quasi continuity -- 2.2. Measures of finite energy integrals -- 2.3. Reduced functions and spectral synthesis -- Chapter 3. The scope of Dirichlet forms -- 3.1. Closability and the smallest closed extensions -- 3.2. Formulae of Beurling-Deny and LeJan -- 3.3. Maximum Markovian extensions -- Part II. Symmetric Markov processes -- Chapter 4. Analysis by symmetric Hunt processes -- 4.1. Smallness of sets and symmetry -- 4.2. Identification of potential theoretic notions -- 4.3. Orthogonal projections and hitting distributions -- 4.4. Parts of forms and processes -- 4.5. Continuity, killing and jumps of sample paths -- 4.6. Quasi notions, fine notions and global properties -- Chapter 5. Stochastic analysis by additive functionals -- 5.1. Positive continuous additive functionals and smooth measures -- 5.2. Decomposition of additive functionals of finite energy -- 5.3. Martingale additive functionals and Beurling-Deny formulae -- 5.4. Continuous additive functionals of zero energy -- 5.5. Extensions to additive functionals locally of finite energy -- 5.6. Martingale additive functionals of finite energy and stochastic integrals -- 5.7. Forward and backward martingale additive functionals -- Chapter 6. Transformations of forms and processes -- 6.1. Perturbed Dirichlet forms and killing by additive functionals -- 6.2. Traces of Dirichlet forms and time changes by additive functionals -- 6.3. Transformations by supermartingale multiplicative functionals.

Chapter 7. Construction of symmetric Markov processes -- 7.1. Construction of a Markovian transition function -- 7.2. Construction of a symmetric Hunt process -- 7.3. Dirichlet forms and Hunt processes on a Lusin space -- A Appendix -- A.1 Choquet capacities -- A.2 An introduction to Hunt processes -- A.3 A summary on martingale additive functionals -- A.4 Regular representations of Dirichlet spaces -- Notes -- Bibliography -- Index.