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. © Yu.G.Kondratiev, T.Kuna, M.J.Oliveira.

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

Kuna T.;
2008

Abstract

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. © Yu.G.Kondratiev, T.Kuna, M.J.Oliveira.
File in questo prodotto:
File Dimensione Formato  
a04.pdf

accesso aperto

Descrizione: PDF
Tipologia: Documento in Versione Editoriale
Licenza: Creative commons
Dimensione 182.61 kB
Formato Adobe PDF
182.61 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/175984
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact