Analytic aspects of Poissonian white noise analysis

Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João

http://hdl.handle.net/10400.2/1712

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Authors

Kondratiev, Yuri G.

Kuna, Tobias

Oliveira, Maria João

Abstract(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.

Keywords

Configuration spaces Poisson measures

URI

http://hdl.handle.net/10400.2/1712

Citation

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