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Dirichlet Forms and Analysis on Wiener Space by Francis Hirsch (German) Hardcove

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Dirichlet Forms and Analysis on Wiener Space. First the authors review the theory of Dirichlet forms, but they observe only functional analytic, potential theoretical and algebraic properties. Although they discuss when this "carre du champ" operator exists in general situation, the conditions they gave are rather hard to verify, and so they verify them in the case of Ornstein-Uhlenbeck operator in Wiener space later.

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