On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces

Kondratiev Y, Kuna T, Oliveira MJ (2004)
JOURNAL OF FUNCTIONAL ANALYSIS 213(1): 1-30.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor/in
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Abstract / Bemerkung
We unify techniques of Poissonian white noise analysis and harmonic analysis on configuration spaces establishing relations between the main structures of both ones. This leads to new results inside of infinite-dimensional analysis as well as in its applications to problems of mathematical physics, e.g., statistical mechanics of continuous systems. (C) 2004 Elsevier Inc. All rights reserved.
Stichworte
Poisson measure; configuration spaces; correlation; function; continuous system; Gibbs measure; chaos decomposition
Erscheinungsjahr
2004
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
213
Ausgabe
1
Seite(n)
1-30
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/1607311

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Kondratiev Y, Kuna T, Oliveira MJ. On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS. 2004;213(1):1-30.
Kondratiev, Y., Kuna, T., & Oliveira, M. J. (2004). On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS, 213(1), 1-30. doi:10.1016/j.jfa.2004.04.010
Kondratiev, Y., Kuna, T., and Oliveira, M. J. (2004). On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS 213, 1-30.
Kondratiev, Y., Kuna, T., & Oliveira, M.J., 2004. On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS, 213(1), p 1-30.
Y. Kondratiev, T. Kuna, and M.J. Oliveira, “On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 213, 2004, pp. 1-30.
Kondratiev, Y., Kuna, T., Oliveira, M.J.: On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS. 213, 1-30 (2004).
Kondratiev, Yuri, Kuna, Tobias, and Oliveira, Maria Joao. “On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces”. JOURNAL OF FUNCTIONAL ANALYSIS 213.1 (2004): 1-30.