Infinite dimensional Gegenbauer functionals

• Autorzy: Abdessatar Barhoumi , Habib Ouerdiane , Anis Riahi
• Języki publikacji: EN

Abstrakty

EN

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 $𝒢_{β}$, 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 $𝒢_{β}$ by using the so-called β-type Wick product.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 60H40: White noise theory
• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 46F25: Distributions on infinite-dimensional spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 35-45

Daty

wydano

2007

Twórcy

autor

Abdessatar Barhoumi

• Department of Mathematics, Higher School of Sci. and, Tech. of Hammam-Sousse, Sousse University, Sousse, Tunisia

autor

Habib Ouerdiane

• Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia

autor

Anis Riahi

• Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia

Identyfikatory

DOI

10.4064/bc78-0-2