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Funktsional. Anal. i Prilozhen., 2010, Volume 44, Issue 3, Pages 1–13 (Mi faa3003)  

This article is cited in 3 scientific papers (total in 3 papers)

Spectral Multiplicities of Infinite Measure Preserving Transformations

A. I. Danilenkoa, V. V. Ryzhikovb

a Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences
b M. V. Lomonosov Moscow State University

Abstract: Each set $E\subset\mathbb{N}$ is realized as the set of essential values of the multiplicity function of the Koopman operator for an ergodic conservative infinite measure preserving transformation.

Keywords: ergodic transformation, $\sigma$-finite measure, spectral multiplicity.

DOI: https://doi.org/10.4213/faa3003

Full text: PDF file (251 kB)
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 2010, 44:3, 161–170

Bibliographic databases:

UDC: 517.987
Received: 25.05.2009

Citation: A. I. Danilenko, V. V. Ryzhikov, “Spectral Multiplicities of Infinite Measure Preserving Transformations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 1–13; Funct. Anal. Appl., 44:3 (2010), 161–170

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Danilenko A.I., “New spectral multiplicities for mixing transformations”, Ergodic Theory Dynam. Systems, 32:2 (2012), 517–534  crossref  mathscinet  zmath  isi  elib  scopus
    2. Danilenko A.I., “A survey on spectral multiplicities of ergodic actions”, Ergodic Theory Dynam. Systems, 33:1 (2013), 81–117  crossref  mathscinet  zmath  isi  elib  scopus
    3. A. Yu. Kushnir, V. V. Ryzhikov, “Weak Closures of Ergodic Actions”, Math. Notes, 101:2 (2017), 277–283  mathnet  crossref  crossref  mathscinet  isi  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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