Scientific studies
Dr. Alexander Goncharov
Research interests
Structure theory of locally convex spaces. Basis problem. Properties of bases
Spaces of infinitely differentiable and Whitney functions. Extension operators
Theory of approximation. Extremal polynomials. Lebesgue constants
Complex dynamics. Metric and topological properties of the generalized Julia sets
Orthogonal polynomials for continuous singular measures. Widom factors
Potential theory. Harmonic measures on small sets. Smoothness of Green functions
Key publications 
1. Goncharov A. On the absence of stability of bases in some Frechet spaces, Analysis Mathematica, V. 46, P. 761-768, 2020. [Download], [Link]
2. Goncharov A., Ural Z. Mityagin's extension problem. Progress report, Journal of Mathematical Analysis and Applications, V. 448, I. 1, P. 357-375, 2017. [Download], [Link]
3. Alpan G., Goncharov A. Orthogonal polynomials for the weakly equilibrium Cantor sets, Proceedings of the American Mathematical Society, V. 144, P. 3781-3795, 2016. [Download], [Link]
4. Goncharov A. Hatinoglu B. Widom factors, Potential Analysis, V. 42, P. 671-680, 2015. [Download], [Link]
5. Goncharov A. Weakly equilibrium Cantor-type sets, Potential Analysis, V. 40, P. 143-161, 2014. [Download], [Link]
6. Goncharov A. Bases in the spaces of Coo-functions on Cantor-type sets, Constructive Approximation, V. 23, P. 351-360, 2006. [Download], [Link]
7. Goncharov A. Perfect sets of finite class without the extension property, Studia Mathematica, V. 126, I. 2, P. 161-170, 1997. [Download], [Link]
8. Goncharov A. A compact set without Markov's property but with an extension operator for Coo-functions, Studia Mathematica, V. 119, I. 1, P. 27-35, 1996. [Download], [Link]
Department Seminar
The Analysis Seminar at the Department of Mathematics, Bilkent University
Talks and lectures
Contributions to conferences and invited lectures