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Derivations on white noise functionals

Published online by Cambridge University Press:  22 January 2016

Nobuaki Obata
Nobuaki Obata*
Affiliation:
Graduate School of Polymathematics, Nagoya University, Nagoya, 464-01Japan
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The Gaussian space (E*, μ) is a natural infinite dimensional analogue of Euclidean space with Lebesgue measure and a special choice of a Gelfand triple gives a fundamental framework of white noise calculus [2] as distribution theory on Gaussian space. It is proved in Kubo-Takenaka [7] that (E) is a topological algebra under pointwise multiplication. The main purpose of this paper is to answer the fundamental question: what are the derivations on the algebra (E)?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 139 , September 1995 , pp. 21 - 36
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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