Nikolai Kapitonovich Nikolski

Nikolai Kapitonovich Nikolski's AcademicInfluence.com Rankings

Mathematics

#4531

World Rank

#6419

Historical Rank

Harmonic Analysis

#22

World Rank

#23

Historical Rank

Functional Analysis

#37

World Rank

#52

Historical Rank

Measure Theory

#4361

World Rank

#5129

Historical Rank

mathematics Degrees

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Mathematics

Nikolai Kapitonovich Nikolski's Degrees

Doctorate Mathematics Moscow State University

Why Is Nikolai Kapitonovich Nikolski Influential?

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According to Wikipedia, Nikolai Kapitonovich Nikolski is a Russian mathematician, specializing in real and complex analysis and functional analysis. Nikolski received in 1966 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 . He was an academician at the Steklov Institute of Mathematics in Leningrad and taught at Leningrad State University. In the 1990s he became a professor at the University of Bordeaux.

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Nikolai Kapitonovich Nikolski's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Operators, Functions, and Systems: An Easy Reading (2002) (611)
Resolvent Tests for Similarity to a Normal Operator (1999) (54)
Distance formulae and invariant subspaces, with an application to localization of zeros of the Riemann $\zeta $-function (1995) (51)
Elements of spectral theory in terms of the free function model (1998) (47)
CONDITION NUMBERS OF LARGE MATRICES, AND ANALYTIC CAPACITIES (2006) (43)
In search of the invisible spectrum (1999) (39)
In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc (2012) (37)
Operators, Functions, and Systems: An Easy Reading: Volume 2: Model Operators and Systems (2011) (34)
Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator (2002) (33)
Complex Analysis, Operators, and Related Topics (2000) (29)
Vector-valued holomorphic functions revisited (2000) (29)
LIPSCHITZ AND COMMUTATOR ESTIMATES IN SYMMETRIC OPERATOR SPACES. (2008) (26)
Hardy Spaces (1970) (22)
Norm controlled inversions and a corona theorem for H∞-quotient algebras (2008) (21)
ASCENT, DESCENT, AND ERGODIC PROPERTIES OF LINEAR OPERATORS (2007) (19)
Stanislav Aleksandrovich Vinogradov, His Life and Mathematics (2000) (16)
50 Years with Hardy Spaces A Tribute to Victor Havin (2018) (12)
Toeplitz Matrices and Operators (2020) (11)
Sublinear dimension growth in the Kreiss Matrix Theorem (2014) (9)
Remarks Concerning Completeness of Translates in Function Spaces (1999) (7)
Vector-valued holomorphic functions revisited. Addendum (2006) (7)
A correction to “In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc” (2018) (5)
The Problem of Efficient Inversions and Bezout Equations (2001) (4)
Harmonic analysis in (2009) (4)
The spectral localization property for diagonal operators and semigroups (2010) (3)
On the sign distributions of Hilbert space frames (2018) (3)
BANACH ALGEBRAS OF OPERATOR SEQUENCES: APPROXIMATION NUMBERS (2007) (3)
Szegő-type limit theorems for "multiplicative Toeplitz" operators and non-Følner approximations (2020) (2)
NORM ESTIMATIONS FOR FINITE SUMS OF POSITIVE OPERATORS (2006) (2)
Invertibility threshold for ^{∞} trace algebras, and effective matrix inversions (2012) (2)
Fourier multipliers for weighted $L^{2}$ spaces with L\'evy-Khinchin-Schoenberg weights (2014) (2)
Victor Petrovich Havin, A Life Devoted to Mathematics (2018) (1)
Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm (2020) (1)
Boris Pavlov and bases, as I remember them (2020) (1)
An elementary approach to Carleman-type resolvent estimates (1996) (1)
Complex Analysis I (1996) (1)
Inverse spectral problems, stochastic processes and one-sided invertibility (2009) (0)
Trace class Hankel operators (2009) (0)
Invertibility threshold for $H^\infty$ trace algebras, and effective matrix inversions (2010) (0)
The basic function model (2010) (0)
Pavlov and bases, as I remember them (2020) (0)
Key Notions of Banach Spaces (2019) (0)
Hankel and Toeplitz operators associated with moment problems (2009) (0)
Essential spectrum. The second step: The Hilbert matrix and other Hankel operators (2009) (0)
Essential spectrum. The first step: Elements of Toeplitz operators (2009) (0)
Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups (1998) (0)
Compact Hankel operators (2009) (0)
Time-invariant filtering (2009) (0)
Convolution and Translation in Classical Analysis (1998) (0)
Transfer to the half-plane (2009) (0)
Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO) (2020) (0)
Singular numbers of Hankel operators (2009) (0)
Hankel and Toeplitz: Sibling Operators on the Space H2 (2020) (0)
Invariant subspaces of (2009) (0)
Toeplitz Matrices: Moments, Spectra, Asymptotics (2020) (0)
Numerically detectable hidden spectrum of certain integration operators (2017) (0)
First optimizations: Multiplicity of the spectrum and the DISC (2010) (0)
List of Publications of S.A. Vinogradov (2000) (0)
Abstracts of talks (2016) (0)
Binomials whose dilations generate $H^2(\mathbb {D})$ (2018) (0)
Eigenvector decompositions, vector valued exponentials, and squared optimization (2010) (0)
Bounding smooth solutions of Bezout equations (2017) (0)
classes. Canonical factorization (2009) (0)
Szegö infimum, and generalized Phragmén–Lindelöf principle (2009) (0)
Szeg\H{o}-type limit theorems for"multiplicative Toeplitz"operators and non-F{\o}lner approximations (2020) (0)
Mathematics as a Source of Certainty and Uncertainty (2018) (0)
An Overview of Banach Algebras (2020) (0)
Applications to Nevanlinna–Pick interpolation (2009) (0)
Three dimensions of metric-measure spaces, Sobolev embeddings and optimal sign transport (2023) (0)
Decompositions into invariant subspaces and free interpolation (2010) (0)
Rational Maps and $Teichm \ddot{u}ller$ Space The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2003) (0)
Elements of spectral theory in the language of the characteristic function (2010) (0)
H2 Theory of Toeplitz Operators (2020) (0)
A Brief Overview of Hardy Spaces (2020) (0)
On the sign distributions of Hilbert space frames (2019) (0)
Distance formulae and zeros of the Riemann -function (2009) (0)
A brief introduction to ^{∞} control (2010) (0)
Key Notions of Hilbert Spaces (2019) (0)
Hankel operators and their symbols (2009) (0)
A glance at bases of exponentials and of reproducing kernels (2010) (0)

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Nikolai Kapitonovich Nikolski's Academic­Influence.com Rankings

Nikolai Kapitonovich Nikolski's Degrees

Why Is Nikolai Kapitonovich Nikolski Influential?

Nikolai Kapitonovich Nikolski's Published Works

Published Works

Other Resources About Nikolai Kapitonovich Nikolski

What Schools Are Affiliated With Nikolai Kapitonovich Nikolski?

Nikolai Kapitonovich Nikolski's AcademicInfluence.com Rankings