Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition

For a smooth measure on an infinite-dimensional space, a “successful-filtration” condition is introduced and the Markov uniqueness and Rademacher theorem for measures satisfying this condition are proved. Some sufficient conditions, such as the well-known Hoegh-Krohn condition, are also considered....

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Bibliographic Details
Date:2005
Main Author: Kulik, A.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165569
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition / A.M. Kulik // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 170–186. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine