@article{b4a87b31eb404b31b8a5544fd877abe1,
title = "Log-integrability of rademacher fourier series, with applications to random analytic functions",
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",
author = "F. Nazarov and A. Nishry and M. Sodin",
note = "Publisher Copyright: {\textcopyright} 2014 American Mathematical Society.",
year = "2014",
doi = "10.1090/S1061-0022-2014-01300-3",
language = "אנגלית",
volume = "25",
pages = "467--494",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",
}