Title: Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
Author(s):

	Yu.G.Kondratiev (Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany; Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany 1; National University "Kyiv-Mohyla Academy", Kiev, Ukraine) ,
	T.Kuna (Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany; Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany 1) ,
	M.J.Oliveira (Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany 1; Universidade Aberta, P 1269-001 Lisbon, Portugal; Universidade Aberta, P 1269-001 Lisbon, Portugal 1)

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.

Key words: Poisson measures, chaos decomposition, configuration spaces, annihilation operators, creation operators, second quantization operators
PACS: 02.40.Vh, 02.40.Yy