Kondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2010-12-072010-12-072008Kondratiev, 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. 237-2461607-324Xhttp://hdl.handle.net/10400.2/1688Harmonic 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.engPoisson measuresConfiguration spacesjournal article