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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Log-integrability of Rademacher Fourier series, with applications to random analytic functions
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by F. Nazarov, A. Nishry and M. Sodin
St. Petersburg Math. J. 25 (2014), 467-494
DOI: https://doi.org/10.1090/S1061-0022-2014-01300-3
Published electronically: May 16, 2014
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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.
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Bibliographic Information
  • F. Nazarov
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent Ohio 44242
  • MR Author ID: 233855
  • Email: nazarov@math.kent.edu
  • A. Nishry
  • Affiliation: School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
  • Email: alonnish@post.tau.ac.il
  • M. Sodin
  • Affiliation: School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
  • Email: sodin@post.tau.ac.il
  • Received by editor(s): January 4, 2013
  • Published electronically: May 16, 2014
  • Additional Notes: Partially supported by grant No. 2006136 of the United States–Israel Binational Science Foundation (F.N., A.N., M.S.), by U.S. National Science Foundation Grant DMS-0800243 (F.N.), and by grant No. 166/11 of the Israel Science Foundation of the Israel Academy of Sciences and Humanities (A.N., M.S.)

    • Dedicated: To Boris Mikhaĭlovich Makarov, on the occasion of his 80th birthday
  • © Copyright 2014 American Mathematical Society
  • Journal: St. Petersburg Math. J. 25 (2014), 467-494
  • MSC (2010): Primary 42A61
  • DOI: https://doi.org/10.1090/S1061-0022-2014-01300-3
  • MathSciNet review: 3184602