Abstract
We use the white noise calculus as a framework for the introduction of Dirichlet forms in infinite dimensions. In particular energy forms associated with positive generalized white noise functionals are considered and we prove criteria for their closability. If the forms are closable, we show that their closures are Markovian (in the sense of Fukushima).
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Communicated by H. Araki
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Hida, T., Potthoff, J. & Streit, L. Dirichlet forms and white noise analysis. Commun.Math. Phys. 116, 235–245 (1988). https://doi.org/10.1007/BF01225257
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DOI: https://doi.org/10.1007/BF01225257