Title

White noise analysis on a new space of Hida distributions

Document Type

Article

Publication Date

1-1-1999

Abstract

Let {a(n); n ≥ 0} be a sequence of positive numbers satisfying certain conditions. A Gel'fand triple [ε]a ⊂ L2(ε′) C [ε]*a associated with the sequence {a(n); n ≥ 0} has been introduced on a white noise space (ε′, μ) by Cochran, Kuo and Sengupta. In this paper we obtain additional conditions on the sequence {a(n); n ≥ 0} in order to carry out white noise distribution theory on the space (ε′, μ). Moreover, we show that the Bell numbers satisfy these additional conditions.

Publication Source (Journal or Book title)

Infinite Dimensional Analysis, Quantum Probability and Related Topics

First Page

315

Last Page

335

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