Functional spaces and operators connected with some Lévy noises

Mathematics – Probability

Scientific paper

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to appear in Proceedings of the 5-th International ISAAC Congress, July 2005, Catania, Italy

Scientific paper

We review some recent developments in white noise analysis and quantum
probability. We pay a special attention to spaces of test and generalized
functionals of some L\'evy white noises, as well as as to the structure of
quantum white noise on these spaces.

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