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Algebra i Analiz, 2013, Volume 25, Issue 3, Pages 147–184 (Mi aa1337)  
This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

Log-integrability of Rademacher Fourier series, with applications to random analytic functions

F. Nazarova, A. Nishryb, M. Sodinb

a Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA
b School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
Full-text PDF (436 kB) Citations (11)
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Abstract: It is proved that any power of the logarithm of a Fourier series with random signs is integrable. This result has applications to the distribution of values of random Taylor series, one of which answers a long-standing question by J.-P. Kahane.
Keywords: random Taylor series, reduction principle.
Received: 04.01.2013
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 3, Pages 467–494
DOI: https://doi.org/10.1090/S1061-0022-2014-01300-3
Bibliographic databases:
Document Type: Article
Language: English
Citation: F. Nazarov, A. Nishry, M. Sodin, “Log-integrability of Rademacher Fourier series, with applications to random analytic functions”, Algebra i Analiz, 25:3 (2013), 147–184; St. Petersburg Math. J., 25:3 (2014), 467–494
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:75
    First page:30
     
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