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

DOI10.1090/S1061-0022-2014-01300-3zbMath1304.42014arXiv1301.0529MaRDI QIDQ2931120

F. L. Nazarov, Alon Nishry, Mikhail Sodin

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0529

zbMATH Keywords

reduction principlerandom Taylor seriesFourier series with random signs

Mathematics Subject Classification ID

Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (8)

Distribution of zeroes of Rademacher Taylor series ⋮ Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials ⋮ Inequalities concerning maximum modulus and zeros of random entire functions ⋮ Roots of random polynomials with coefficients of polynomial growth ⋮ Variations on Salem-Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics ⋮ Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications ⋮ Approximately half of the roots of a random Littlewood polynomial are inside the disk ⋮ Roots of random functions: A framework for local universality

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