Dyakonov, Konstantin
Research Professor
Experimental Sciences & Mathematics
Institucio Catalana de Recerca i Estudis Avancats
Spain
Biography
Born on 30 May 1964 in Leningrad, USSR (=St. Petersburg, Russia). Graduated from Leningrad State University in 1986. PhD in Mathematics from St. Petersburg State University, 1991. Previous long-term positions: - Institute of Analysing Devices, Leningrad, USSR (1986-1989), researcher; - St. Petersburg University of Electrical Engineering, St. Petersburg, Russia, assistant professor (1989-1992) and then associate professor (1992-1998) in the Department of Mathematics; - Universidad de La Laguna, Tenerife, Spain (1996-1997), visiting professor; - Universitat de Barcelona, Spain (1999-2001), visiting research fellow; - Steklov Institute of Mathematics, St. Petersburg Branch (POMI), St. Petersburg, Russia (1998-2007), senior researcher; - Universitat de Barcelona, Spain (2003-2006), Ramón y Cajal researcher. Prizes: Young Scientist Award in the area of Mathematics from Academia Europaea (for fSU researchers), 1998.
Research Interest
Most of his research is devoted to spaces of analytic functions of a complex variable. Typically, the functions live on the unit disk and are well-behaved, in a sense, near/on its boundary, the unit circle. Various specific interpretations of "well-behaved", such as a natural growth restriction or some kind of boundary smoothness, give rise to important function spaces with nice properties, and I have studied some of these.He is also concerned with certain types of linear operators (e.g., the so-called Toeplitz and Hankel operators) acting on such spaces.
Publications
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K. M. Dyakonov, Moduli and arguments of analytic functions from subspaces in $H^p$ that are invariant for the backward shift operator, (English transl.) Siberian Mathematical Journal 31 (1990), 926-939.
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K. M. Dyakonov, On an interpolation problem and on equivalent norms in spaces $K^p_ heta$, (English transl.) Vestnik Leningrad University Mathematics 21 (1988), No. 4, 59-62.
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K. M. Dyakonov, On the geometry of the unit ball in the space $K^1_ heta$ (in Russian), in: Geometric Problems in the Theory of Functions and Sets, pp. 52-54, Kalinin Gos. Univ., Kalinin, 1987.
