Infinite dimensional Gegenbauer functionals
Abdessatar Barhoumi ; Habib Ouerdiane ; Anis Riahi
Banach Center Publications, Tome 75 (2007), p. 35-45 / Harvested from The Polish Digital Mathematics Library
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he 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 β, via the Bochner-Minlos theorem, on a suitable nuclear triple. Then we give the chaos decomposition of the L²-space with respect to the measure β by using the so-called β-type Wick product.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282199 
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     author = {Abdessatar Barhoumi and Habib Ouerdiane and Anis Riahi},
     title = {Infinite dimensional Gegenbauer functionals},
     journal = {Banach Center Publications},
     volume = {75},
     year = {2007},
     pages = {35-45},
     zbl = {1155.60028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-2}
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Abdessatar Barhoumi; Habib Ouerdiane; Anis Riahi. Infinite dimensional Gegenbauer functionals. Banach Center Publications, Tome 75 (2007) pp. 35-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-2/