Education

01.1993 — D.Sc. in Mathematics and Physics («Mathematical Analysis»)
Institution: St. Petersburg Department of Steklov Mathematical Institute
Thesis title: A Function Model and Estimations of Contractive Operator Chains

12.1976 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Analysis»)
Institution: Leningrad Department of Steklov Mathematical Institute
Thesis title: Unconditionally Convergent Spectral Decompositions and Interpolation Problems
Advisor: N.K. Nikolski

01.1962 — Specialist Degree in Mathematical Physics
Institution: Leningrad State University

Scientific interests

Originally, I dealt with the spectral theory of non-selfadojnt operators in Hilbert space. At the beginning of the century, I changed the field of activity and more than 15 years I deal with the Bellman function method.

Selected publications

1. P. Ivanisvili, D.M. Stolyarov, V.I. Vasyunin and P.B. Zatitskiy. Bellman function for extremal problems in BMO II: evolution. In: Memoirs of the American Mathematical Society, Vol. 255, No. 1220, AMS, 2018, pp. 1–148. [arXiv]
2. L. Slavin and V. Vasyunin. Sharp results in the integral-form John–Nirenberg inequality. Transactions of the AMS 363, 4135–4169, 2011.
3. V.I. Vasyunin. The sharp constant in the reverse Holder inequality for the Muckenhopt weights. St. Petersburg Mathematical Journal 15:1, 49–79, 2003. (Originally in Russian, published in Algebra i Analiz 15:1, 73–117, 2003.)
4. N.K. Nikolskii and V.I. Vasyunin. Elements of spectral theory in terms of the free function model. In: Sh. Axler, J.E. McCarthy, D. Sarason (eds.), Holomorphic Spaces (Mathematical Sciences Research Institute Publications, Vol.33), Cambridge University Press, 1998, pp. 211–302.
5. V.I. Vasjunin. Unconditionally convergent spectral decompositions and interpolation problems. In: Proceedings of the Steklov Institute of Mathematics, Vol. 4, 1979, pp. 1–53. (Originally in Russian, published in Trudy Mat. Inst. Steklov, Vol. 130, 1978, pp. 5–49.)

Additional Information

vasyunin@pdmi.ras.ru

For the students who are interested in working under my supervision I would like to explain that the Bellman function method is an instrument for obtaining various estimates in analysis and probability. The method appears rather recently and by this reason, such a field is very profitable for young mathematicians. The fact is that the students have a possibility to deal with the unsolved mathematical problems after the first steps in the domain.

Also see my curriculum vitae (in English).

Teaching