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Infinite dimensional gegenbauer functionals
Conference proceeding   Open access  Peer reviewed

Infinite dimensional gegenbauer functionals

Abdessatar Barhoumi, Habib Ouerdiane and Anis Riahi
NONCOMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY, Vol.78, p.35
BANACH CENTER PUBLICATIONS
01/01/2007

Abstract

Mathematics Physical Sciences Science & Technology
The paper is devoted to investigation of Gegenbauer white noise functionals. A particular attention is paid to the construction of the infinite dimensional Gegenbauer white noise measure G(beta), via the Bochner-Mlintos theorem, on a suitable nuclear triple. Then we give the chaos decomposition of the L-2 -space with respect to the measure G(beta) by using the so-called beta-type Wick product.
url
https://doi.org/10.4064/bc78-0-2View
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