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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 2, Pages 79–81
DOI: https://doi.org/10.4213/faa3198 (Mi faa3198) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Spaces of quasi-invariance of product measures

L. M. Arutyunyan, E. D. Kosov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa3198
Abstract: Classical results of Shepp and Feldman give a criterion for a product measure which is a countable power of a measure on $\mathbb R$ with positive density to be equivalent to its shift by any vector in $\ell^2$. In this work a similar problem is studied for shifts of a measure by vectors in $\ell^q$ for $1\le q <2$.
Keywords: space of quasi-invariance, space of equivalent shifts, Shepp's theorem, product measure.
Funding agency Grant number
Russian Science Foundation 14-11-00196
This work was supported by RSF project No. 14-11-00196.
Received: 29.07.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 2, Pages 142–144
DOI: https://doi.org/10.1007/s10688-015-0096-x
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: L. M. Arutyunyan, E. D. Kosov, “Spaces of quasi-invariance of product measures”, Funktsional. Anal. i Prilozhen., 49:2 (2015), 79–81; Funct. Anal. Appl., 49:2 (2015), 142–144
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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