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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 2, Pages 352–362
DOI: https://doi.org/10.4213/tvp224 (Mi tvp224) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On recovery of a measure from its symmetrization

A. A. Gushchina, U. Küchlerb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Humboldt University, Department of Mathematics
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DOI: https://doi.org/10.4213/tvp224
Abstract: We show that a $\sigma$-finite Borel measure, which is defined on the positive half-line and has a nonincreasing density (with respect to the Lebesgue measure) is uniquely characterized by its symmetrization.
Keywords: symmetrization, phase retrieval, Fourier transform, factorization theorems, moving average process.
Received: 28.01.2004
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 2, Pages 323–333
DOI: https://doi.org/10.1137/S0040585X97981068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Gushchin, U. Küchler, “On recovery of a measure from its symmetrization”, Teor. Veroyatnost. i Primenen., 49:2 (2004), 352–362; Theory Probab. Appl., 49:2 (2005), 323–333
Citation in format AMSBIB
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\by A.~A.~Gushchin, U.~K\"uchler
\paper On recovery of a measure from its symmetrization
\jour Teor. Veroyatnost. i Primenen.
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\issue 2
\pages 352--362
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\zmath{https://zbmath.org/?q=an:1089.28003}
\transl
\jour Theory Probab. Appl.
\yr 2005
\vol 49
\issue 2
\pages 323--333
\crossref{https://doi.org/10.1137/S0040585X97981068}
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  • https://www.mathnet.ru/eng/tvp224
  • https://doi.org/10.4213/tvp224
  • https://www.mathnet.ru/eng/tvp/v49/i2/p352
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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