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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
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.
Received: 29.07.2014
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
Linking options:
https://www.mathnet.ru/eng/faa3198https://doi.org/10.4213/faa3198 https://www.mathnet.ru/eng/faa/v49/i2/p79
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Abstract page: | 356 | Full-text PDF : | 157 | References: | 43 | First page: | 26 |
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