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

Kondratiev Y, Kuna T, Oliveira MJ (2008)
In: Condensed Matter Physics. CONDENSED MATTER PHYSICS, 11(2). INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE: 237-246.

Konferenzbeitrag | Veröffentlicht | Englisch
 
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Autor*in
Kondratiev, YuriUniBi; Kuna, Tobias; Oliveira, Maria Joao
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.
Stichworte
chaos decomposition; Poisson measures; second quantization; operators; creation operators; configuration spaces; annihilation operators
Erscheinungsjahr
2008
Titel des Konferenzbandes
Condensed Matter Physics
Band
11
Ausgabe
2
Seite(n)
237-246
ISSN
1607-324X
Page URI
https://pub.uni-bielefeld.de/record/1587183

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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. In: Condensed Matter Physics. CONDENSED MATTER PHYSICS. Vol 11. INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE; 2008: 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, CONDENSED MATTER PHYSICS, 11, 237-246. INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE. 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” in Condensed Matter Physics CONDENSED MATTER PHYSICS, vol. 11, (INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE), 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. In Condensed Matter Physics. CONDENSED MATTER PHYSICS. no.11 INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE, pp. 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, CONDENSED MATTER PHYSICS, vol. 11, INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE, 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. CONDENSED MATTER PHYSICS. 11, p. 237-246. INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE (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. INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE, 2008.Vol. 11. CONDENSED MATTER PHYSICS. 237-246.