Tikhonov, Sergey
Research Professor
Experimental Sciences & Mathematics
Institucio Catalana de Recerca i Estudis Avancats
Spain
Biography
I was born in Russia in 1976. I graduated from the Lomonosov Moscow State University in 1999 and obtained my PhD in Mathematics from MSU in 2003. 2004-2006: Marie Curie Fellow at the Centre de Recerca Matemàtica, Barcelona. 2006-2008: Post-doctoral Fellow at the Scuola Normale Superiore, Pisa. 2008-September 2012: ICREA Researcher, CRM From September 2012, I am an ICREA Research Professor at the Centre de Recerca Matemàtica. 2009: ISAAC Award. 2013: Humboldt Research Fellowship for Experienced Researchers.
Research Interest
Mostly my research deals with Fourier Analysis and Approximation Theory. Particularly, I study the relationship between "smoothness" of a function and the possibility to approximate or to represent this function by a sum of "simple" functions. The case when "simple" functions have wave structure is of special interest.
Publications
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Dyachenko M, Nursultanov E & Tikhonov S 2017, ‘Hardy--Littlewood and Pitt's inequalities for Hausdorff operators’, Bulletin des Sciences Mathématiques.
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A. Bondarenko, S. Tikhonov 2017, 'Bernstein inequalities with nondoubling weights', J. Eur. Math. Soc., vol. 19, no. 1, pp 67-106.
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Ganzburg, Michael I.; Tikhonov, Sergey Yu. 2017, 'On Sharp Constants in Bernstein-Nikolskii Inequalities', Constructive Approximation, 45, 3, 449 - 466.
