Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces

Kondratiev Y, Kuna T, Oliveira MJ (2008)
CONDENSED MATTER PHYSICS 11(2): 237-246.

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Konferenzbeitrag | Veröffentlicht | Englisch
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Abstract / Bemerkung
Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L-2-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.
Erscheinungsjahr
Band
11
Ausgabe
2
Seite(n)
237-246
ISSN
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Kondratiev Y, Kuna T, Oliveira MJ. Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. CONDENSED MATTER PHYSICS. 2008;11(2):237-246.
Kondratiev, Y., Kuna, T., & Oliveira, M. J. (2008). Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. CONDENSED MATTER PHYSICS, 11(2), 237-246. doi:10.5488/CMP.11.2.237
Kondratiev, Y., Kuna, T., and Oliveira, M. J. (2008). Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. CONDENSED MATTER PHYSICS 11, 237-246.
Kondratiev, Y., Kuna, T., & Oliveira, M.J., 2008. Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. CONDENSED MATTER PHYSICS, 11(2), p 237-246.
Y. Kondratiev, T. Kuna, and M.J. Oliveira, “Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces”, CONDENSED MATTER PHYSICS, vol. 11, 2008, pp. 237-246.
Kondratiev, Y., Kuna, T., Oliveira, M.J.: Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. CONDENSED MATTER PHYSICS. 11, 237-246 (2008).
Kondratiev, Yuri, Kuna, Tobias, and Oliveira, Maria Joao. “Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces”. CONDENSED MATTER PHYSICS 11.2 (2008): 237-246.