Abstract
We extend operators from the Cameron-Martin space to Gaussian Lusinian locally convex space. We then are allowed to give sense to the Mehler formula for every such bounded operator. An application is made to Hilbert-Schmidt operators. Next we show that capacities asociated to second quantizations of operators are tight on compact sets, and this is a general result even if the underlying space is not a Banach space.
Le deuxième auteur a exposé ce travail au colloque d’Amersfoort, août 1991.
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© 1994 Springer Science+Business Media Dordrecht
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Feyel, D., de la Pradelle, A. (1994). Opérateurs linéaires gaussiens. In: Bertin, E. (eds) ICPT ’91. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1118-8_5
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DOI: https://doi.org/10.1007/978-94-011-1118-8_5
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