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Opérateurs linéaires gaussiens

In: Icpt ’91

Author

Listed:
  • Denis Feyel

    (Université P.M. Curie, Laboratoire d’Analyse, Tour 46-0, 4ème étage)

  • Arnaud de la Pradelle

    (Université P.M. Curie, Laboratoire d’Analyse, Tour 46-0, 4ème étage)

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.

Suggested Citation

  • Denis Feyel & Arnaud de la Pradelle, 1994. "Opérateurs linéaires gaussiens," Springer Books, in: Emile Bertin (ed.), Icpt ’91, pages 89-105, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-1118-8_5
    DOI: 10.1007/978-94-011-1118-8_5
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