Nikolai Kapitonovich Nikolski
Nikolai Kapitonovich Nikolski is a Russian mathematician, specializing in real and complex analysis and functional analysis.
In 1966, Nikolski earned his Candidate of Sciences degree from the Leningrad State University under Viktor Khavin with thesis Invariant subspaces of certain compact operators. In 1973 he received his Doctor of Sciences degree published as monograph below. He was a Laboratory director at the Steklov Institute of Mathematics in Leningrad and Professor of Department of
Mathematics at Leningrad State University. In 1991 he became a professor at the University of Bordeaux.
Nikolski's research deals with operator theory, harmonic analysis, and complex analysis. He has published more than 100 papers and six research monographs.
He was an Invited Speaker with talk What problems do spectral theory and functional analysis solve for each other? at the ICM in 1978 in Helsinki. In 2010, he was awarded the Ampère Prize
of the French Academy of Sciences, and in 2012 he was elected a Fellow of the American Mathematical Society, as well as for several temporary positions as
Fellow of the Advanced Study Institute at Indiana University
, Distinguished Visiting Scholar, Ben-Gurion University, MSRI Research grant, Marie Curie Action Senior Fellow, TODEQ Project, 2008, Taussky-Todd Distinguished Professor, Caltech.
His doctoral students include Alexander Borichev, Nikolai Makarov, Sergei Treil, Vasily Vasyunin, Alexander Volberg.
Among his notable contributions, Nikolski was one of the Leningrad mathematicians who in 1984 verified the correctness of the proof of the Bieberbach conjecture by Louis de Branges.
Selected publications
Research Monographs
, Cambridge Studies in Advanced Mathematics, 182, Cambridge University Press, Cambridge, 2020., Cambridge University Press, Cambridge Studies in Advanced Mathematics, 179, Cambridge, 2019.
, Vol. 1 and Vol. 2, Mathematical Surveys and Monographs, American Mathematical Society, Providence, 2002;.
, Grundlehren der mathematischen Wissenschaften 273, Springer Verlag 1986
, Nauka, Moscow, 1980.
, American Mathematical Society, Providence, 1976, Zbl 0342.41028.
Books Editor, an excerpt
- ”Zapiski Nauchnyh Seminarov LOMI ”:
- ”Trudy Math. Inst. Steklova”, Moscow, ; English transl.: ”Proc. Steklov Math. Inst.”, AMS, Providence: - vol.130 ”Spectral Theory of Functions and Operators”, 1978, 223 pp; English transl.: Proc. Steklov Math. Inst., 130, AMS, Providence.
- ”Encyclopaedia of Mathematical Sciences”, Springer-Verlag; co-editor, volumes 15,19,25,42,72,85; 1990 - 1996.
- ”Operator Theory: Advances and Applications”, a Birkhäuser series:
Years with Hardy Spaces. A tribute to Victor Havin”, vol.261, 484 pp., Zbl 06848809.
- ”Lecture Notes in Mathematics”, Springer-Verlag: - ”Complex Analysis and Spectral Theory. Seminar, Leningrad 1979/1980”, vol.864, 480 pp.