Edit Profile (opens in new tab) Nikol’skiĭ, Nikolaĭ Kapitonovich Co-Author Distance Author ID: nikolskij.nikolaj-k Published as: Nikol’skij, N. K.; Nikolski, Nikolai; Nikolski, N. K.; Nikolski, N.; Nikol’skiĭ, N. K.; Nikolski, Nikolaï; Nikolskii, Nikolai K.; Nikolski, Nikolai K.; Nikol’skii, N. K.; Nikolskiĭ, N.; Nikolskii, Nicolai K.; Nikolskii, N. K.; Nikolskij, N. K.; Nikolskij, Nikolaj K.; Nikolski, Nicolai more...less Further Spellings: Никольский Николай Капитонович External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 133 Publications since 1965, including 7 Books 46 Contributions as Editor · 5 Further Contributions Biographic References: 1 Publication Co-Authors: 70 Co-Authors with 73 Joint Publications 3,549 Co-Co-Authors all top 5 Co-Authors 109 single-authored 16 Khavin, Viktor Petrovich 15 Vasyunin, Vasiliĭ Ivanovich 10 Gamkrelidze, Revaz Valerianovich 7 Charpentier, Éric 7 Pavlov, Boris Sergeevich 6 Khrushchev, Sergei V. 4 Dovbysh, L. N. 4 Marchenko, Vladimir Aleksandrovich 4 Vershik, Anatoliĭ Moiseevich 3 Faddeev, Lyudvig Dmitrievich 3 Kislyakov, Sergeĭ Vital’evich 3 Lesne, Annick 3 Markus, Alexander S. 3 Peller, Vladimir Vsevolodovich 3 Volberg, Alexander Lvovich 2 Babich, Vasiliĭ Mikhaĭlovich 2 Baranov, Anton D. 2 Borichev, Aleksandr Aleksandrovich 2 Clark, Douglas Napier 2 Domar, Yngve 2 Douglas, Ronald George 2 Dyn’kin, Evseĭ Mordukhovich 2 Frankfurt, Richard 2 Gurariĭ, Volodymyr Petrovych 2 Hasumi, Morisuke 2 Helson, Henry 2 Kahane, Jean-Pierre 2 Korenblum, Boris 2 Krasichkov-Ternovskii, I. F. 2 Kreĭn, Mark Grigor’evich 2 Leiterer, Jürgen 2 Levin, Boris Yakovlevich 2 Lyubich, Yuriĭ Il’ich 2 McKean, Henry P. jun. 2 Mortini, Raymond 2 Naboko, Serguei N. 2 Nikolskaya, Ludmila N. 2 Ostrovskiĭ, Iosif Vladimirovich 2 Palamodov, Victor Pavlovitch 2 Pastur, Leonid Andreevich 2 Putnam, Calvin R. 2 Sakhnovych, Lev Aronovych 2 Shamoyan, Faĭzo Agitovich 2 Shields, Allen L. 2 Smyth, M. R. F. 2 Sudakov, Vladimir Nikolaevich 2 Szőkefalvi-Nagy, Béla 2 Tkachenko, Vadim Aleksandrovich 2 Trutnev, V. M. 2 Waelbroeck, Lucien A. 2 West, Timothy Trevor 2 Williams, David L. 1 Agarwal, Ravi P. 1 Arendt, Wolfgang 1 Bardos, Claude Williams 1 Belitskii, Genrich R. 1 Benamara, Nour-Eddine 1 Berthelot, Pierre 1 Blokh, Alexander M. 1 Brudnyi, Yuri A. 1 Buslaev, Vladimir Savel’evich 1 Cerveau, Dominique 1 David, Guy 1 Drinfeld, Vladimir Gershonovich 1 Eidelman, Yuli 1 El-Fallah, Omar 1 El Karoui, Nicole 1 Eremenko, Alexandre 1 Fel’dman, Gennadiĭ Mikhaĭlovich 1 Fontaine, Jean-Marc 1 Gel’fand, Israil’ Moiseevich 1 Gindikin, Simon Grigorevich 1 Girard, Jean-Yves 1 Godefroy, Gilles 1 Gohberg, Bella 1 Gonchar, Andreĭ Aleksandrovich 1 Gorkin, Pamela B. 1 Habsieger, Laurent 1 Hindry, Marc 1 Jitomirskaya, Svetlana Yakovlevna 1 Kaashoek, Marinus Adriaan 1 Kahn, Bruno 1 Karoubi, Max 1 Khavinson, Semën Yakovlevich 1 Kirillov, A. A. senior 1 Kirzhner, Valery M. 1 Kuchment, Peter A. 1 Lafforgue, Laurent 1 Landau, Henry Jacob 1 Laptev, Ari 1 Lin, Vladimir Ya. 1 Lyubich, Mikhail 1 Milman, Vitali D. 1 Mityagin, Boris Samuilovich 1 Morain, François 1 Morel, Fabien 1 Perthame, Benoît 1 Pinchover, Yehuda 1 Plamenevskiĭ, Boris Alekseevich 1 Pokrovskiĭ, Valeriĭ Leonidovich ...and 24 more Co-Authors all top 5 Serials 16 Journal of Soviet Mathematics 15 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 11 St. Petersburg Mathematical Journal 10 Soviet Mathematics. Doklady 6 Encyclopaedia of Mathematical Sciences 4 Annales de l’Institut Fourier 4 Mathematics of the USSR. Izvestiya 4 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 4 Lecture Notes in Mathematics 4 Operator Theory: Advances and Applications 4 Le Sel et le Fer 3 Siberian Mathematical Journal 3 Journal of Mathematical Sciences (New York) 2 Russian Mathematical Surveys 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Journal of Approximation Theory 2 Algebra i Analiz 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Bulletin of the American Mathematical Society 2 Cambridge Studies in Advanced Mathematics 2 Mathematical Surveys and Monographs 2 Proceedings of the Steklov Institute of Mathematics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Arkiv för Matematik 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Leningrad Mathematical Journal 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematics of the USSR, Sbornik 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 Grundlehren der Mathematischen Wissenschaften 1 Translations. Series 2. American Mathematical Society 1 Analysis and Mathematical Physics 1 Moroccan Journal of Pure and Applied Analysis 1 Mathématiques en Devenir all top 5 Fields 109 Operator theory (47-XX) 59 Functional analysis (46-XX) 51 Functions of a complex variable (30-XX) 50 General and overarching topics; collections (00-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Abstract harmonic analysis (43-XX) 15 History and biography (01-XX) 9 Partial differential equations (35-XX) 8 Approximations and expansions (41-XX) 7 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Mathematical logic and foundations (03-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,460 times in 1,088 Documents Cited by ▼ Year ▼ Treatise on the shift operator. Spectral function theory. With an appendix by S. V. Khrushchev and V. V. Peller. Transl. from the Russian by Jaak Peetre. Zbl 0587.47036 Nikol’skij, N. K. 304 1986 Operators, functions, and systems: an easy reading. Volume 2: Model operators and systems. Transl. from the French by Andreas Hartmann. Zbl 1007.47002 Nikolski, N. K. 223 2002 Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann. Zbl 1007.47001 Nikolski, N. K. 167 2002 Unconditional bases of exponentials and of reproducing kernels. Zbl 0466.46018 Khrushchev, S. V.; Nikol’skij, N. K.; Pavlov, B. S. 75 1981 Linear and complex analysis problem book 3. Part 1. Zbl 0893.30036 44 1994 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 32 1997 Linear and complex analysis problem book 3. Part 2. Zbl 0893.30037 31 1994 Vector-valued holomorphic functions revisited. Zbl 0976.46030 Arendt, W.; Nikolski, N. 31 2000 Elements of spectral theory in terms of the free function model. I: Basic constructions. Zbl 0999.47010 Nikolski, Nikolai; Vasyunin, Vasily 29 1998 Selected problems of weighted approximation and spectral analysis. Zbl 0342.41028 Nikol’skij, N. K. 28 1976 Hardy spaces. Translated from the French. Zbl 1429.30002 Nikolski, Nikolaï 27 2019 In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc. (À l’ombre de l’HR: Vecteurs cycliques de l’espace de Hardy du multidisque hilbertien.) Zbl 1267.30108 Nikolski, Nikolai 23 2012 Lectures on the shift operator. (Lektsii ob operatore sdviga). Zbl 0508.47001 Nikol’skij, N. K. 22 1980 In search of the invisible spectrum. Zbl 0947.46035 Nikolski, Nikolai 21 1999 Resolvent tests for similarity to a normal operator. Zbl 1028.47500 Benamara, Nour-Eddine; Nikolski, Nikolai 20 1999 Condition numbers of large matrices, and analytic capacities. Zbl 1098.15002 Nikolski, N. K. 20 2006 Toeplitz matrices and operators. Translated from the French by Danièle Gibbons and Greg Gibbons. Zbl 1466.15001 Nikolski, Nikolaï 17 2020 A unified approach to function models, and the transcription problem. Zbl 0685.47006 Nikolskii, Nikolai K.; Vasyunin, Vasily I. 17 1989 Linear and complex analysis. Problem book. 199 research problems. Zbl 0545.30038 16 1984 Distance formulae and invariant subspaces, with an application to localization of zeros of the Riemann \(\zeta\)-function. Zbl 0816.30026 Nikolski, Nikolai 14 1995 Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras. Zbl 1161.46028 Gorkin, Pamela; Mortini, Raymond; Nikolski, Nikolai 14 2008 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 13 1998 A function model and some problems in the spectral theory of functions. Zbl 0665.47007 Nikol’skij, N. K.; Khrushchev, S. V. 11 1988 Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator. Zbl 1041.47007 Nikolski, Nikolai; Treil, Sergei 11 2002 Resolvent estimates in Beurling-Sobolev algebras. Zbl 0938.46047 El-Fallah, O.; Nikolskij, N. K.; Zarrabi, M. 10 1998 Spaces and algebras of Toeplitz matrices operating in \(l^ p\). Zbl 0161.34702 Nikol’skij, N. K. 10 1966 The present state of the spectral analysis-synthesis problem. \(I^*\). Zbl 0568.47004 Nikol’skij, N. K. 10 1984 Bases of eigenvectors of completely nonunitary contractions and the characteristic function. Zbl 0232.47026 Nikol’skij, N. K.; Pavlov, B. S. 8 1971 Kolmogorov’s heritage in mathematics. Transl. from the French. Zbl 1136.00010 7 2007 Spectral synthesis for a shift operator and zeros in certain classes of analytic functions smooth up to the boundary. Zbl 0227.47026 Nikol’skij, N. K. 7 1970 Control subspaces of minimal dimension. Elementary introduction. Discotheca. Zbl 1297.47021 Vasyunin, V. I.; Nikol’skij, N. K. 7 1981 Sublinear dimension growth in the Kreiss matrix theorem. Zbl 1302.47010 Nikolski, N. 7 2014 The functional model and some problems of spectral theory of functions. Zbl 0649.47010 Nikol’skij, N. K.; Khrushchev, S. V. 6 1987 Bases of exponential functions and values of reproducing kernels. Zbl 0493.42024 Nikol’skij, N. K. 6 1980 Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations. Zbl 1512.47055 Nikolski, N.; Pushnitski, A. 5 2021 Bases of invariant subspaces and operator interpolation. Zbl 0461.46012 Nikol’skij, N. K. 5 1978 Selected works. Complex analysis. Mathematical theory of diffraction. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii). Compiled and with commentaries by V. M. Babich, N. K. Nikol’skij and V. P. Khavin. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii.) Zbl 0699.01037 Smirnov, V. I. 5 1988 Estimates of the spectral radius and the semigroup growth bound in terms of the resolvent and weak asymptotics. Zbl 1047.47031 Nikolski, N. 5 2003 Remarks concerning completeness of translates in function spaces. Zbl 0944.46023 Nikolski, Nikolai 5 1999 Complex analysis, operators, and related topics. The S. A. Vinogradov memorial volume. Zbl 0934.00031 4 2000 Yngve Domar’s forty years in harmonic analysis. Zbl 0845.43001 Nikolski, Nikolai 4 1995 Stanislav Aleksandrovich Vinogradov, his life and mathematics. Zbl 1051.01508 Havin, V. P.; Nikolski, N. K. 4 2000 Invariant subspaces of weighted shift operators. Zbl 0181.40803 Nikol’skij, N. K. 4 1969 Invertibility threshold for \(H^{\infty }\) trace algebras, and effective matrix inversions. Zbl 1254.47039 Vasyunin, V. I.; Nikolskij, N. K. 4 2012 Quasiorthogonal decompositions with respect to complementary metrics, and estimates of univalent functions. Zbl 0728.47015 Vasyunin, V. I.; Nikol’skij, N. K. 4 1991 Ha-plitz operators: A survey of some recent results. Zbl 0598.47028 Nikol’skii, N. K. 4 1985 How ”good” can a non-hereditarily complete family be? Zbl 0406.46018 Dovbysh, L. N.; Nikol’skij, N. K.; Sudakov, V. N. 4 1977 Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014 4 1991 Invariant subspaces in the theory of operators and theory of functions. Zbl 0348.47004 Nikol’skij, N. K. 4 1976 Binomials whose dilations generate \(H^2(\mathbb {D})\). Zbl 1404.30060 Nikolski, N. K. 4 2018 Multicyclicity phenomenon. I: An introduction and maxi-formulas. Zbl 0687.47010 Nikolskij, Nikolaj K. 3 1989 Tangential and approximate free interpolation. Zbl 0697.30036 Nikolskii, Nikolai K.; Volberg, Alexander L. 3 1990 How good can a nonhereditary family be? Zbl 0596.46015 Dovbysh, L. N.; Nikol’skij, N. K.; Sudakov, V. N. 3 1986 The problem of efficient inversions and Bezout equations. Zbl 1008.46021 Nikolski, Nikolai 3 2001 Five problems on invariant subspaces. Zbl 0283.47004 Nikol’skij, N. K. 3 1974 The unicellularity and nonunicellularity of weighted shift operators. Zbl 0157.21202 Nikol’skij, N. K. 3 1967 On the sign distributions of Hilbert space frames. Zbl 1429.42034 Nikolski, Nikolai; Volberg, Alexander 3 2019 Expansions in characteristic vectors of nonunitary operators and the characteristic vectors of nonunitary operators and the characteristic function. Zbl 0208.16402 Nikol’skij, N. K.; Pavlov, B. S. 3 1968 Complette extensions of Volterra operators. Zbl 0209.15703 Nikol’skij, N. K. 3 1971 Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029 3 1992 Classification of \(H^ 2\)-functions according to the degree of their cyclicity. Zbl 0598.46033 Vasyunin, V. I.; Nikol’skij, N. K. 3 1984 Control subspaces of minimal dimension and root vectors. Zbl 0513.47002 Nikol’skij, N. K.; Vasyunin, V. I. 3 1983 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 3 2010 Studies on linear operators and function theory. 99 unsolved problems of linear and complex analysis. (Исследования по линейным операторам и теории функций. 99 нерешенных задач линейного и комплексного анализа).) Zbl 0445.00008 3 1978 Functional analysis I. Linear functional analysis. Transl. from the Russian by I. Tweddle. Zbl 0743.00036 3 1992 Commutative harmonic analysis III. Generalized functions. Applications. Transl. from the Russian by R. Cooke. Zbl 0826.00011 2 1995 Multiple shift operator with simple spectrum. Zbl 0258.47030 Nikol’skij, N. K. 2 1970 Five problems about invariant subspaces. Zbl 0266.47006 Nikol’skij, N. K. 2 1971 Über invariante Unterräume von gewogenen Verschiebungsoperatoren. Zbl 0171.12201 Nikol’skij, N. K. 2 1967 Operator-valued measures and coefficients of univalent functions. Zbl 0791.30010 Vasyunin, V. I.; Nikol’skij, N. K. 2 1991 Controllability up to renormalization and small control operators. (Contrôlabilité à une renormalisation près et petits opérateurs de contrôle.) Zbl 0910.93012 Nikolski, N. K. 2 1998 What problems do spectral theory and complex analysis solve for each other? Zbl 0456.47017 Nikolskii, N. K. 2 1980 Two methods for avoiding hereditary completeness. Zbl 0459.46015 Dovbysh, L. N.; Nikol’skij, N. K. 2 1981 Lectures on the shift operator. IV. Zbl 0371.47005 Nikol’skij, N. K. 2 1976 Lectures on the shift operator. Zbl 0407.47001 Nikol’skij, N. K. 2 1977 Lectures on the shift operator. III. Zbl 0445.47001 Nikol’skij, N. K. 2 1980 Lectures on the shift operator. II. Zbl 0371.47003 Nikol’skij, N. K. 2 1974 Basizität und Einzelligkeit von Operatoren der bewichteten Verschiebung. Zbl 0182.17302 Nikol’skij, N. K. 2 1968 Basicity and unicellularity of weighted shift operators. Zbl 0184.35102 Nikol’skij, N. K. 2 1970 Bases of eigenvectors of completely nonunitary contractions. Zbl 0186.19403 Nikol’skiĭ, N. K.; Pavlov, B. S. 2 1969 Two ways of avoiding the hereditary completeness. Zbl 0345.46020 Dovbys, L.; Nikol’skij, N. K. 2 1976 Fourier multipliers for weighted \(L^2\) spaces with Lévy-Khinchin-Schoenberg weights. Zbl 1376.42010 Nikolski, Nikolai K.; Verbitsky, Igor E. 2 2017 Quasi-orthogonal Hilbert space decompositions and estimates of univalent functions. I. Zbl 0810.46022 Nikolskii, Nikolai K.; Vasyunin, Vasily I. 1 1991 Quasiorthogonal expansions with respect to complementary metrics and estimates of univalent functions. Zbl 0708.47017 Vasyunin, V. I.; Nikol’skij, N. K. 1 1990 50 years with Hardy spaces. A tribute to Victor Havin. Zbl 1393.30002 1 2018 On perturbations of the spectrum of unitary operators. Zbl 0181.40602 Nikol’skij, N. K. 1 1969 On the unitary spectrum of a contraction in a Banach space. Zbl 0265.47008 Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K. 1 1971 On the spectral analysis on the unitary spectrum. Point spectrum. II. Zbl 0265.47009 Nikol’skij, N. K. 1 1971 Unitary spectrum of a contraction in Banach space. Zbl 0277.47009 Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K. 1 1974 Invariante Unterräume einiger vollstetiger Operatoren. Zbl 0158.14503 Nikol’skij, N. K. 1 1965 In memoriam: Victor Petrovich Havin (1933–2015), a life devoted to mathematics. Zbl 1405.01031 Baranov, Anton; Kisliakov, Sergei; Nikolski, Nikolai 1 2018 Boris Pavlov and bases, as I remember them. Zbl 1445.01032 Nikolski, Nikolai 1 2020 Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm. Zbl 1518.46005 Nikolski, Nikolai; Volberg, Alexander 1 2022 Commutative harmonic analysis - 3. (Kommutativnyj garmonicheskij analiz - 3.) Zbl 0729.00011 1 1991 Commutative harmonic analysis - 2. (Kommutativnyj garmonicheskij analiz - 2.) Zbl 0664.00016 1 1988 Lectures on the shift operator. IV. Zbl 0458.47028 Nikol’skij, N. K. 1 1981 Two applications of Hankel operators. Zbl 0474.47014 Nikolskii, N. K. 1 1981 Control subspaces of minimal dimension, and spectral multiplicities. Zbl 0513.47001 Nikol’skij, N. K.; Vasyunin, V. I. 1 1982 Operator measures and coefficients of univalent functions. Zbl 0757.30020 Vasyunin, V. I.; Nikol’skij, N. K. 1 1991 Kolmogorov’s heritage in mathematics. (L’héritage de Kolmogorov en mathématiques.) Zbl 1137.00330 1 2004 Three dimensions of metric-measure spaces, Sobolev embeddings and optimal sign transport. Zbl 07672055 Nikolski, N. 1 2023 Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm. Zbl 1518.46005 Nikolski, Nikolai; Volberg, Alexander 1 2022 Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations. Zbl 1512.47055 Nikolski, N.; Pushnitski, A. 5 2021 Szegö-type ASD for “multiplicative Toeplitz” operators. Zbl 07620790 Nikolski, Nikolai 1 2021 Toeplitz matrices and operators. Translated from the French by Danièle Gibbons and Greg Gibbons. Zbl 1466.15001 Nikolski, Nikolaï 17 2020 Boris Pavlov and bases, as I remember them. Zbl 1445.01032 Nikolski, Nikolai 1 2020 Hardy spaces. Translated from the French. Zbl 1429.30002 Nikolski, Nikolaï 27 2019 On the sign distributions of Hilbert space frames. Zbl 1429.42034 Nikolski, Nikolai; Volberg, Alexander 3 2019 Binomials whose dilations generate \(H^2(\mathbb {D})\). Zbl 1404.30060 Nikolski, N. K. 4 2018 50 years with Hardy spaces. A tribute to Victor Havin. Zbl 1393.30002 1 2018 In memoriam: Victor Petrovich Havin (1933–2015), a life devoted to mathematics. Zbl 1405.01031 Baranov, Anton; Kisliakov, Sergei; Nikolski, Nikolai 1 2018 A correction to “In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc”. (Une correction au “À l’ombre de l’HR: Vecteurs cycliques de l’espace de Hardy du multidisque hilbertien”.) Zbl 1404.32007 Nikolski, Nikolai 1 2018 Fourier multipliers for weighted \(L^2\) spaces with Lévy-Khinchin-Schoenberg weights. Zbl 1376.42010 Nikolski, Nikolai K.; Verbitsky, Igor E. 2 2017 Toeplitz matrices and operators. (Matrices et opérateurs de Toeplitz.) Zbl 1436.15001 Nikolski, Nikolaï 1 2017 Sublinear dimension growth in the Kreiss matrix theorem. Zbl 1302.47010 Nikolski, N. 7 2014 In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc. (À l’ombre de l’HR: Vecteurs cycliques de l’espace de Hardy du multidisque hilbertien.) Zbl 1267.30108 Nikolski, Nikolai 23 2012 Invertibility threshold for \(H^{\infty }\) trace algebras, and effective matrix inversions. Zbl 1254.47039 Vasyunin, V. I.; Nikolskij, N. K. 4 2012 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 3 2010 The spectral localization property for diagonal operators and semigroups. Zbl 1226.46011 Nikolski, N. K. 1 2010 Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras. Zbl 1161.46028 Gorkin, Pamela; Mortini, Raymond; Nikolski, Nikolai 14 2008 Kolmogorov’s heritage in mathematics. Transl. from the French. Zbl 1136.00010 7 2007 Lectures on today’s mathematics. Vol. 3. With a preface by Éric Charpentier and Nicolai Nikolskiĭ. (Leçons de mathématiques d’aujourd’hui. Vol. 3.) Zbl 1205.00072 1 2007 Condition numbers of large matrices, and analytic capacities. Zbl 1098.15002 Nikolski, N. K. 20 2006 Kolmogorov’s heritage in mathematics. (L’héritage de Kolmogorov en mathématiques.) Zbl 1137.00330 1 2004 Estimates of the spectral radius and the semigroup growth bound in terms of the resolvent and weak asymptotics. Zbl 1047.47031 Nikolski, N. 5 2003 Operators, functions, and systems: an easy reading. Volume 2: Model operators and systems. Transl. from the French by Andreas Hartmann. Zbl 1007.47002 Nikolski, N. K. 223 2002 Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann. Zbl 1007.47001 Nikolski, N. K. 167 2002 Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator. Zbl 1041.47007 Nikolski, Nikolai; Treil, Sergei 11 2002 The problem of efficient inversions and Bezout equations. Zbl 1008.46021 Nikolski, Nikolai 3 2001 Vector-valued holomorphic functions revisited. Zbl 0976.46030 Arendt, W.; Nikolski, N. 31 2000 Complex analysis, operators, and related topics. The S. A. Vinogradov memorial volume. Zbl 0934.00031 4 2000 Stanislav Aleksandrovich Vinogradov, his life and mathematics. Zbl 1051.01508 Havin, V. P.; Nikolski, N. K. 4 2000 In search of the invisible spectrum. Zbl 0947.46035 Nikolski, Nikolai 21 1999 Resolvent tests for similarity to a normal operator. Zbl 1028.47500 Benamara, Nour-Eddine; Nikolski, Nikolai 20 1999 Remarks concerning completeness of translates in function spaces. Zbl 0944.46023 Nikolski, Nikolai 5 1999 Elements of spectral theory in terms of the free function model. I: Basic constructions. Zbl 0999.47010 Nikolski, Nikolai; Vasyunin, Vasily 29 1998 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 13 1998 Resolvent estimates in Beurling-Sobolev algebras. Zbl 0938.46047 El-Fallah, O.; Nikolskij, N. K.; Zarrabi, M. 10 1998 Controllability up to renormalization and small control operators. (Contrôlabilité à une renormalisation près et petits opérateurs de contrôle.) Zbl 0910.93012 Nikolski, N. K. 2 1998 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 32 1997 Distance formulae and invariant subspaces, with an application to localization of zeros of the Riemann \(\zeta\)-function. Zbl 0816.30026 Nikolski, Nikolai 14 1995 Yngve Domar’s forty years in harmonic analysis. Zbl 0845.43001 Nikolski, Nikolai 4 1995 Commutative harmonic analysis III. Generalized functions. Applications. Transl. from the Russian by R. Cooke. Zbl 0826.00011 2 1995 Linear and complex analysis problem book 3. Part 1. Zbl 0893.30036 44 1994 Linear and complex analysis problem book 3. Part 2. Zbl 0893.30037 31 1994 Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029 3 1992 Functional analysis I. Linear functional analysis. Transl. from the Russian by I. Tweddle. Zbl 0743.00036 3 1992 Quasiorthogonal decompositions with respect to complementary metrics, and estimates of univalent functions. Zbl 0728.47015 Vasyunin, V. I.; Nikol’skij, N. K. 4 1991 Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014 4 1991 Operator-valued measures and coefficients of univalent functions. Zbl 0791.30010 Vasyunin, V. I.; Nikol’skij, N. K. 2 1991 Quasi-orthogonal Hilbert space decompositions and estimates of univalent functions. I. Zbl 0810.46022 Nikolskii, Nikolai K.; Vasyunin, Vasily I. 1 1991 Commutative harmonic analysis - 3. (Kommutativnyj garmonicheskij analiz - 3.) Zbl 0729.00011 1 1991 Operator measures and coefficients of univalent functions. Zbl 0757.30020 Vasyunin, V. I.; Nikol’skij, N. K. 1 1991 Tangential and approximate free interpolation. Zbl 0697.30036 Nikolskii, Nikolai K.; Volberg, Alexander L. 3 1990 Quasiorthogonal expansions with respect to complementary metrics and estimates of univalent functions. Zbl 0708.47017 Vasyunin, V. I.; Nikol’skij, N. K. 1 1990 A unified approach to function models, and the transcription problem. Zbl 0685.47006 Nikolskii, Nikolai K.; Vasyunin, Vasily I. 17 1989 Multicyclicity phenomenon. I: An introduction and maxi-formulas. Zbl 0687.47010 Nikolskij, Nikolaj K. 3 1989 Elementary description of methods for localization of ideals. Zbl 0722.46012 Nikol’skij, N. K. 1 1989 A function model and some problems in the spectral theory of functions. Zbl 0665.47007 Nikol’skij, N. K.; Khrushchev, S. V. 11 1988 Selected works. Complex analysis. Mathematical theory of diffraction. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii). Compiled and with commentaries by V. M. Babich, N. K. Nikol’skij and V. P. Khavin. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii.) Zbl 0699.01037 Smirnov, V. I. 5 1988 Commutative harmonic analysis - 2. (Kommutativnyj garmonicheskij analiz - 2.) Zbl 0664.00016 1 1988 The functional model and some problems of spectral theory of functions. Zbl 0649.47010 Nikol’skij, N. K.; Khrushchev, S. V. 6 1987 Treatise on the shift operator. Spectral function theory. With an appendix by S. V. Khrushchev and V. V. Peller. Transl. from the Russian by Jaak Peetre. Zbl 0587.47036 Nikol’skij, N. K. 304 1986 How good can a nonhereditary family be? Zbl 0596.46015 Dovbysh, L. N.; Nikol’skij, N. K.; Sudakov, V. N. 3 1986 Ha-plitz operators: A survey of some recent results. Zbl 0598.47028 Nikol’skii, N. K. 4 1985 Linear and complex analysis. Problem book. 199 research problems. Zbl 0545.30038 16 1984 The present state of the spectral analysis-synthesis problem. \(I^*\). Zbl 0568.47004 Nikol’skij, N. K. 10 1984 Classification of \(H^ 2\)-functions according to the degree of their cyclicity. Zbl 0598.46033 Vasyunin, V. I.; Nikol’skij, N. K. 3 1984 Control subspaces of minimal dimension and root vectors. Zbl 0513.47002 Nikol’skij, N. K.; Vasyunin, V. I. 3 1983 Control subspaces of minimal dimension, and spectral multiplicities. Zbl 0513.47001 Nikol’skij, N. K.; Vasyunin, V. I. 1 1982 Unconditional bases of exponentials and of reproducing kernels. Zbl 0466.46018 Khrushchev, S. V.; Nikol’skij, N. K.; Pavlov, B. S. 75 1981 Control subspaces of minimal dimension. Elementary introduction. Discotheca. Zbl 1297.47021 Vasyunin, V. I.; Nikol’skij, N. K. 7 1981 Two methods for avoiding hereditary completeness. Zbl 0459.46015 Dovbysh, L. N.; Nikol’skij, N. K. 2 1981 Lectures on the shift operator. IV. Zbl 0458.47028 Nikol’skij, N. K. 1 1981 Two applications of Hankel operators. Zbl 0474.47014 Nikolskii, N. K. 1 1981 Lectures on the shift operator. (Lektsii ob operatore sdviga). Zbl 0508.47001 Nikol’skij, N. K. 22 1980 Bases of exponential functions and values of reproducing kernels. Zbl 0493.42024 Nikol’skij, N. K. 6 1980 What problems do spectral theory and complex analysis solve for each other? Zbl 0456.47017 Nikolskii, N. K. 2 1980 Lectures on the shift operator. III. Zbl 0445.47001 Nikol’skij, N. K. 2 1980 Bases of invariant subspaces and operator interpolation. Zbl 0461.46012 Nikol’skij, N. K. 5 1978 Studies on linear operators and function theory. 99 unsolved problems of linear and complex analysis. (Исследования по линейным операторам и теории функций. 99 нерешенных задач линейного и комплексного анализа).) Zbl 0445.00008 3 1978 How ”good” can a non-hereditarily complete family be? Zbl 0406.46018 Dovbysh, L. N.; Nikol’skij, N. K.; Sudakov, V. N. 4 1977 Lectures on the shift operator. Zbl 0407.47001 Nikol’skij, N. K. 2 1977 Selected problems of weighted approximation and spectral analysis. Zbl 0342.41028 Nikol’skij, N. K. 28 1976 Invariant subspaces in the theory of operators and theory of functions. Zbl 0348.47004 Nikol’skij, N. K. 4 1976 Lectures on the shift operator. IV. Zbl 0371.47005 Nikol’skij, N. K. 2 1976 Two ways of avoiding the hereditary completeness. Zbl 0345.46020 Dovbys, L.; Nikol’skij, N. K. 2 1976 Five problems on invariant subspaces. Zbl 0283.47004 Nikol’skij, N. K. 3 1974 Lectures on the shift operator. II. Zbl 0371.47003 Nikol’skij, N. K. 2 1974 Unitary spectrum of a contraction in Banach space. Zbl 0277.47009 Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K. 1 1974 Invariante Unterräume in der Theorie der Operatoren und der Theorie der Funktionen. Zbl 0333.47003 Nikol’skij, N. K. 1 1974 Ausgewählte Probleme der bewichteten Approximation und der Spektralanalyse. Zbl 0342.41027 Nikol’skij, N. K. 1 1974 Bases of eigenvectors of completely nonunitary contractions and the characteristic function. Zbl 0232.47026 Nikol’skij, N. K.; Pavlov, B. S. 8 1971 Complette extensions of Volterra operators. Zbl 0209.15703 Nikol’skij, N. K. 3 1971 Five problems about invariant subspaces. Zbl 0266.47006 Nikol’skij, N. K. 2 1971 On the unitary spectrum of a contraction in a Banach space. Zbl 0265.47008 Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K. 1 1971 On the spectral analysis on the unitary spectrum. Point spectrum. II. Zbl 0265.47009 Nikol’skij, N. K. 1 1971 Spectral synthesis for a shift operator and zeros in certain classes of analytic functions smooth up to the boundary. Zbl 0227.47026 Nikol’skij, N. K. 7 1970 Multiple shift operator with simple spectrum. Zbl 0258.47030 Nikol’skij, N. K. 2 1970 Basicity and unicellularity of weighted shift operators. Zbl 0184.35102 Nikol’skij, N. K. 2 1970 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,014 Authors 32 Baranov, Anton D. 25 Nikol’skiĭ, Nikolaĭ Kapitonovich 21 Partington, Jonathan R. 19 Hwang, In Sung 19 Zarouf, Rachid 18 Fricain, Emmanuel 17 Treil, Sergei 15 Dyakonov, Konstantin M. 15 Lee, Woo Young 13 Hartmann, Andreas 11 Borichev, Aleksandr Aleksandrovich 11 Brudnyi, Alexander 11 Kellay, Karim 11 Yakubovich, Dmitry V. 10 Pott, Sandra 10 Pushnitski, Alexander B. 10 Ross, William T. 10 Rybkin, Alexei 9 Ball, Joseph Anthony 9 Belov, Yurii S. 9 Câmara, Maria Cristina 9 Curto, Raúl Enrique 9 Garayev, Mübariz Tapdıgoğlu 9 Guo, Kunyu 9 Isaev, Konstantin Petrovich 9 Mortini, Raymond 9 Peller, Vladimir Vsevolodovich 9 Seubert, Steven M. 9 Yafaev, Dimitri R. 8 Aleman, Alexandru 8 Baratchart, Laurent 8 Chalendar, Isabelle 8 Izuchi, Kou Hei 8 Jacob, Birgit 8 Karlovych, Oleksiy 8 Nicolau, Artur 8 Ptak, Marek 8 Sawyer, Eric T. 8 Szehr, Oleg 8 Ugurlu, Ekin 8 Yulmukhametov, Rinad Salavatovich 8 Zheng, Dechao 7 Gallardo-Gutiérrez, Eva Antonia 7 Gamal, Maria F. 7 Garcia, Stephan Ramon 7 Izuchi, Keiji 7 Izuchi, Yuko 7 Malamud, Mark M. 7 O’Loughlin, Ryan 7 Poltoratski, Alexei G. 7 Queffélec, Hervé 7 Sasane, Amol J. 7 Timotin, Dan 7 Wick, Brett Duane 6 Gerard, Patrick 6 Grivaux, Sophie 6 Grudsky, Sergei Mikhailovich 6 Jasiczak, Michał 6 Kapustin, Vladimir V. 6 Liaw, Constanze 6 Lyubarskii, Yurii I. 6 Mashreghi, Javad 6 Massaneda, Xavier 6 Popov, Igor’ Yur’evich 6 Ransford, Thomas J. 6 Thomas, Pascal J. 6 Volberg, Alexander Lvovich 6 Yan, Fugang 5 Alpay, Daniel Aron 5 Badea, Catalin 5 Bessonov, Roman V. 5 Bolotnikov, Vladimir 5 Carlsson, Marcus 5 Chattopadhyay, Arup 5 El-Fallah, Omar 5 Gorkin, Pamela B. 5 Gu, Caixing 5 Kim, Sumin 5 Leblond, Juliette 5 Lu, Yufeng 5 Ma, Pan 5 McCarthy, John Edward 5 Naboko, Serguei N. 5 Ober, Raimund J. 5 Qian, Tao 5 Qiu, Yanqi 5 Sadosky, Cora 5 Seip, Kristian 5 Shin, Chang Eon 5 Staffans, Olof Johan 5 Vasyunin, Vasiliĭ Ivanovich 5 Vinnikov, Victor L. 5 Yuditskii, Peter Meerovich 5 Zarrabi, Mohamed 5 Zhu, Kehe 5 Zwart, Hans J. 4 Allahverdiev, Bilender Paşaoğlu 4 Arendt, Wolfgang 4 Bingham, Nicholas Hugh 4 Böttcher, Albrecht ...and 914 more Authors all top 5 Cited in 210 Serials 125 Journal of Functional Analysis 77 Journal of Mathematical Analysis and Applications 44 St. Petersburg Mathematical Journal 37 Integral Equations and Operator Theory 36 Complex Analysis and Operator Theory 27 Advances in Mathematics 22 Journal of Mathematical Sciences (New York) 21 Journal d’Analyse Mathématique 21 Proceedings of the American Mathematical Society 18 Journal of Approximation Theory 18 Linear Algebra and its Applications 16 Mathematische Nachrichten 15 Transactions of the American Mathematical Society 13 Annales de l’Institut Fourier 13 Bulletin des Sciences Mathématiques 12 The Journal of Fourier Analysis and Applications 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Mathematische Zeitschrift 11 Systems & Control Letters 11 Computational Methods and Function Theory 10 Studia Mathematica 10 Journal of Soviet Mathematics 10 Analysis and Mathematical Physics 10 Concrete Operators 8 Archiv der Mathematik 8 Banach Journal of Mathematical Analysis 7 Arkiv för Matematik 7 Canadian Mathematical Bulletin 7 Journal of the London Mathematical Society. Second Series 6 Mathematical Notes 6 Functional Analysis and its Applications 6 Constructive Approximation 6 Revista Matemática Iberoamericana 6 Journal de Mathématiques Pures et Appliquées. 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RACSAM 3 Journal of Function Spaces 2 Periodica Mathematica Hungarica 2 Collectanea Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Monatshefte für Mathematik 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin of the Korean Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 SIAM Journal on Mathematical Analysis 2 Russian Mathematics 2 Russian Journal of Mathematical Physics 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Georgian Mathematical Journal 2 Advances in Computational Mathematics 2 Annales Academiae Scientiarum Fennicae. Mathematica ...and 110 more Serials all top 5 Cited in 54 Fields 613 Operator theory (47-XX) 414 Functions of a complex variable (30-XX) 314 Functional analysis (46-XX) 119 Harmonic analysis on Euclidean spaces (42-XX) 73 Several complex variables and analytic spaces (32-XX) 61 Partial differential equations (35-XX) 49 Systems theory; control (93-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 40 Ordinary differential equations (34-XX) 40 Approximations and expansions (41-XX) 35 Probability theory and stochastic processes (60-XX) 32 Dynamical systems and ergodic theory (37-XX) 29 Abstract harmonic analysis (43-XX) 29 Quantum theory (81-XX) 25 Number theory (11-XX) 24 Numerical analysis (65-XX) 20 Information and communication theory, circuits (94-XX) 19 Potential theory (31-XX) 17 Integral equations (45-XX) 13 Integral transforms, operational calculus (44-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 9 Special functions (33-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Statistics (62-XX) 7 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 Convex and discrete geometry (52-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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