Generalized stochastic derivatives on spaces of nonregular generalized functions of Meixner white noise

We introduce and study generalized stochastic derivatives on the Kondratiev-type spaces of nonregular generalized functions of Meixner white noise. Properties of these derivatives are quite analogous to the properties of the stochastic derivatives in the Gaussian analysis. As an example we calcula...

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Bibliographic Details
Date:2008
Main Author: Kachanovsky, N.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Generalized stochastic derivatives on spaces of nonregular generalized functions of Meixner white noise / N.A. Kachanovsky // Український математичний журнал. — 2008. — Т. 60, № 6. — С. 737–758. — Бібліогр.: 30 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine