Harmonic analysis on configuration space - I. General theory

Kondratiev Y, Kuna T (2002)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5(2): 201-233.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We develop a combinatorial version of harmonic analysis on configuration spaces over Riemannian manifolds. Our constructions are based on the use of a lifting operator which can be considered as a kind of (combinatorial) Fourier transform in the configuration space analysis. The latter operator gives us a natural lifting of the geometry from the underlying manifold onto the configuration space. Properties of correlation measures for given states (i.e. probability measures) on configuration spaces are studied including a characterization theorem for correlation measures.
Stichworte
configuration space; geometry; Poissonian white; noise analysis; correlation measures; reduced moments; harmonic analysis
Erscheinungsjahr
2002
Zeitschriftentitel
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
Band
5
Ausgabe
2
Seite(n)
201-233
ISSN
0219-0257
Page URI
https://pub.uni-bielefeld.de/record/1613934

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Kondratiev Y, Kuna T. Harmonic analysis on configuration space - I. General theory. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 2002;5(2):201-233.
Kondratiev, Y., & Kuna, T. (2002). Harmonic analysis on configuration space - I. General theory. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 5(2), 201-233. doi:10.1142/S0219025702000833
Kondratiev, Y., and Kuna, T. (2002). Harmonic analysis on configuration space - I. General theory. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5, 201-233.
Kondratiev, Y., & Kuna, T., 2002. Harmonic analysis on configuration space - I. General theory. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 5(2), p 201-233.
Y. Kondratiev and T. Kuna, “Harmonic analysis on configuration space - I. General theory”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 5, 2002, pp. 201-233.
Kondratiev, Y., Kuna, T.: Harmonic analysis on configuration space - I. General theory. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 5, 201-233 (2002).
Kondratiev, Yuri, and Kuna, T. “Harmonic analysis on configuration space - I. General theory”. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5.2 (2002): 201-233.