Analytical functionals and application to Poissonian and harmonic analysis

DOI10.1080/17442500902917151zbMath1187.28021OpenAlexW1975822487MaRDI QIDQ3396064

Sonia Chaari, Habib Ouerdiane

Publication date: 16 September 2009

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500902917151

zbMATH Keywords

configuration spacesPoisson measurecorrelation functionchaos decompositionBogoliubov functionalsspace of analytical functions with growth condition of \(theta\)-exponential type

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

Cites Work

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• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• Exponential spaces and counting processes