Stochastic Calculus of Generalized Dirichlet Forms

@inproceedings{Trutnau2007StochasticCO,
  title={Stochastic Calculus of Generalized Dirichlet Forms},
  author={Gerald Trutnau},
  year={2007}
}
{ We show Fukushima's decomposition of AF's in the frame work of quasi{regular generalized semi{Dirichlet forms considered in 8],,9]. The only condition assumed, is that the co-resolvent is sub{Markovian. No dual process is needed. The key-point for the proof of the decomposition is an integral representation theorem for coexcessive functions and a resulting description of E{exceptional sets by an appropriate class of measures. We also derive an It^ o-type formula for the transformation of the… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-9 OF 9 REFERENCES

Dirichlet forms and symmetric Markov processes

Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
  • 1994
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

An integral representation theorem for quasi{regular Dirichlet spaces

Z. Dong, Z. M. Ma
  • Chinese Sci. Bull. 38,
  • 1993
VIEW 1 EXCERPT

ockner: Introduction to the theory of (non{symmetric) Dirichlet forms

Z. M. Ma, R M.
  • 1992