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Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Poisson measures Configuration spaces
Contexto Educativo
Citação
Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. "Condensed Matter Physics" [Em linha]. ISSN 1607-324X Vol. 11, nº 2 (54) (2008), p. 237-246