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

Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João

http://hdl.handle.net/10400.2/1671

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Authors

Kondratiev, Yuri G.

Kuna, Tobias

Oliveira, Maria João

Abstract(s)

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.

Description

The original publication is available at http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WJJ-4CK7TKF-1-1&_cdi=6880&_user=2460301&_pii=S0022123604001363&_origin=search&_coverDate=08%2F01%2F2004&_sk=997869998&view=c&wchp=dGLbVlb-zSkWb&md5=20876a53d93ee98d282ed0a3c135fb89&ie=/sdarticle.pdf

Keywords

Poisson measure Configuration spaces Chaos decomposition Configuration spaces Correlation function Continuous system Gibbs measure

URI

http://hdl.handle.net/10400.2/1671

Citation

Kondratiev, G. Yuri; Kuna, Tobias; Oliveira, Maria João - On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. "Journal of Functional Analysis" [Em linha]. ISSN 0022-1236. Vol. 213, Issue 1, (2004), p.1-30