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Mikhail Ivanovich Dyachenko

Moscow State University

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Publication

Featured researches published by Mikhail Ivanovich Dyachenko.

Proceedings of the Steklov Institute of Mathematics | 2013

Global and local smoothness of the Hilbert transforms

Mikhail Ivanovich Dyachenko; Erlan Dautbekovich Nursultanov; Sergey Tikhonov

We study the smoothness properties of the Hilbert transform in terms of the smoothness of the function itself. We prove global and local analogues of Privalov’s theorem. The sharpness of these results is shown.

Studia Mathematica | 2009

Integrability and continuity of functions represented by trigonometric series: coefficients criteria

Mikhail Ivanovich Dyachenko; Sergey Tikhonov

Comptes Rendus Mathematique | 2007

Convergence of trigonometric series with general monotone coefficients

Mikhail Ivanovich Dyachenko; Sergey Tikhonov

Journal of Mathematical Analysis and Applications | 2008

A Hardy-Littlewood theorem for multiple series ✩

Mikhail Ivanovich Dyachenko; Sergey Tikhonov

Sbornik Mathematics | 1999

Two-dimensional Waterman classes and

Mikhail Ivanovich Dyachenko

Journal of Mathematical Analysis and Applications | 2010

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Mikhail Ivanovich Dyachenko; Elijah Liflyand; Sergey Tikhonov

Journal of Mathematical Analysis and Applications | 2014

-convergence of Fourier series

Mikhail Ivanovich Dyachenko; Erlan Nursultanov; Ayagoz Kankenova

Sbornik Mathematics | 2013

Uniform convergence and integrability of Fourier integrals

Mikhail Ivanovich Dyachenko

Sbornik Mathematics | 2009

On summability of Fourier coefficients of functions from Lebesgue space

Mikhail Ivanovich Dyachenko; Erlan Dautbekovich Nursultanov

Sbornik Mathematics | 1997

On a class of summability methods for multiple Fourier series

Mikhail Ivanovich Dyachenko

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Collaboration

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Erlan Dautbekovich Nursultanov

Moscow State University

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Sergey Tikhonov

Scuola Normale Superiore di Pisa

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Andrei Aleksandrovich Gonchar

Russian Academy of Sciences

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Mikhail Konstantinovich Potapov

Moscow State University

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Oleg Vladimirovich Besov

Russian Academy of Sciences

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S. Tikhonov

Autonomous University of Barcelona

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Boris Ivanovich Golubov

Moscow Institute of Physics and Technology

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Boris Sergeevich Kashin

Russian Academy of Sciences

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Sergei Aleksandrovich Telyakovskii

Russian Academy of Sciences

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Sergei Ivanovich Adian

Russian Academy of Sciences

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