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Analytic aspects of Poissonian white noise analysis
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Orientador(es)
Resumo(s)
General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is developed on Poisson and Lebesgue-
Poisson space. Both spaces have an own S-transform, well known in the Gaussian case. They give an extra connection between these two spaces via the Bargmann-Segal space. Test and generalized functions,different types of convolutions, and representations of creation and annihilation operators in the aforementioned spaces are considered.
Descrição
Palavras-chave
Configuration spaces Poisson measures
Contexto Educativo
Citação
Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Analytic aspects of Poissonian white noise analysis. "Methods Functional Analysis Topology" [Em linha]. ISSN 1029-3531. Vol. 8, nº 4 (2002), p. 15-48