Analysis on Poisson and Gamma spaces

Kondratiev Y, Da Silva JL, Streit L, Us GF (1998)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 1(1): 91-117.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to non-Gaussian white noise calculus, see Ref. 18. We use a known unitary isomorphism between Poisson and compound Poisson spaces in order to transport analytic structures from Poisson space to compound Poisson space. Finally we study a Fock type structure of chaos decomposition on Gamma space.
Erscheinungsjahr
Zeitschriftentitel
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
Band
1
Zeitschriftennummer
1
Seite
91-117
ISSN
PUB-ID

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Kondratiev Y, Da Silva JL, Streit L, Us GF. Analysis on Poisson and Gamma spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 1998;1(1):91-117.
Kondratiev, Y., Da Silva, J. L., Streit, L., & Us, G. F. (1998). Analysis on Poisson and Gamma spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 1(1), 91-117. doi:10.1142/S0219025798000089
Kondratiev, Y., Da Silva, J. L., Streit, L., and Us, G. F. (1998). Analysis on Poisson and Gamma spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 1, 91-117.
Kondratiev, Y., et al., 1998. Analysis on Poisson and Gamma spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 1(1), p 91-117.
Y. Kondratiev, et al., “Analysis on Poisson and Gamma spaces”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 1, 1998, pp. 91-117.
Kondratiev, Y., Da Silva, J.L., Streit, L., Us, G.F.: Analysis on Poisson and Gamma spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 1, 91-117 (1998).
Kondratiev, Yuri, Da Silva, JL, Streit, Ludwig, and Us, GF. “Analysis on Poisson and Gamma spaces”. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 1.1 (1998): 91-117.