Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L2-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits, in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator. © Yu.G.Kondratiev, T.Kuna, M.J.Oliveira.

Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces

Kuna T.;
2008-01-01

Abstract

Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L2-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits, in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator. © Yu.G.Kondratiev, T.Kuna, M.J.Oliveira.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/175984
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