Kondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2011-01-142011-01-142002Kondratiev, 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. 15-481029-3531http://hdl.handle.net/10400.2/1712General 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.engConfiguration spacesPoisson measuresjournal article