Strong Uniqueness for a Class of Innnite Dimensional Dirichlet Operators and Applications to Stochastic Quantization
نویسنده
چکیده
Strong and Markov uniqueness problems in L 2 for Dirichlet operators on rigged Hilbert spaces are studied. An analytic approach based on a{priori estimates is used. The extension of the problem to the L p-setting is discussed. As a direct application essential self{ adjointness and strong uniqueness in L p is proved for the generator (with initial domain the bounded smooth cylinder functions) of the stochastic quantization process for Euclidean quantum eld theory in nite volume R 2 .
منابع مشابه
Strong Uniqueness for Certain Infinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization
Strong and Markov uniqueness problems in L for Dirichlet operators on rigged Hilbert spaces are studied. An analytic approach based on a–priori estimates is used. The extension of the problem to the L-setting is discussed. As a direct application essential self–adjointness and strong uniqueness in L is proved for the generator (with initial domain the bounded smooth cylinder functions) of the s...
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تاریخ انتشار 1997