Phone +34 93 586 8522
E-mail stikhonov@crm.cat
Position Principal Investigator
Funding ICREA
Research interests Analysis & PDE
Group Harmonic Analysis and Approximation Theory
Tikhonov, Sergey
Biosketch

I graduated from the Lomonosov Moscow State University in 1999 and obtained the PhD degree in Mathematics from MSU in 2003. From September 2012, I am an ICREA Research Professor at the Centre de Recerca Matemàtica.

2003: PhD in Mathematics,  Lomonosov Moscow State University, Moscow.

2004-2006: Marie Curie Fellow at CRM, Barcelona.

2006-2008: Post-doctoral Fellow at the Scuola Normale Superiore, Pisa.

2008-September  2012: ICREA Researcher at CRM, Barcelona.

2009: ISAAC Award.

2012: ICREA Research Professor at CRM, Barcelona.

2013: Humboldt Research Fellowship for Experienced Researchers.

 

PERSONAL WEBSITE

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Interests

My research mainly deals with Fourier Analysis and Approximation Theory. Particularly, I study the relationship between "smoothness" of a function and a 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. 

Currently my main interests include: 

  • Harmonic Analysis: Fourier series/transforms; Function spaces; Embedding theorems; (Singular) Integral operators; Weights
  • Approximation theory: Discretization, Polynomial approximation, Polynomial inequalities and applications, Orthogonal polynomials, Moduli of smoothness, K-functionals
  • Real Analysis: General monotone functions and sequences, Hardy-type inequalities