Selected publications
Articles • • • {{cite journal|title= Norm controlled inversions and a corona theorem for H∞-quotient algebras|journal= Journal of Functional Analysis|volume=255|year=2008|pages=854–876|last1=Nikolski|first1=Nikolai|last2=Gorkin|first2=P.|last3=Mortini|first3=R.|issue= 4| doi=10.1016/j.jfa.2008.05.011 • • • Research Monographs (I) Toeplitz matrices and operators, Cambridge Studies in Advanced Mathematics, 182, Cambridge University Press, Cambridge, 2020 (French original: Matrices et opérateurs de Toeplitz, C&M, Paris, 2017). (II) Hardy Spaces, Cambridge University Press, Cambridge Studies in Advanced Mathematics, 179, Cambridge, 2019 (French original: Éléments d’analyse avancée. Espaces de Hardy, Belin, Paris, 2012). (III) Operators, Functions, and Systems. An easy reading, Vol. 1 and Vol. 2, Mathematical Surveys and Monographs, American Mathematical Society, Providence, 2002; . (IV) Treatise on the Shift Operator, Grundlehren der mathematischen Wissenschaften 273, Springer Verlag 1986 (V) Lectures on the Shift Operator (Russian: «Лекции об операторе сдвига»), Nauka, Moscow, 1980. (VI) Selected problems of weighted approximation and spectral analysis, American Mathematical Society, Providence, 1976, Zbl 0342.41028 (Russian original: «Избранные задачи весовой аппроксимации и спектрального анализа», Trudy Mat. Inst. Steklova, vol. 120, Moscow, 1974, Zbl 0342.41027). Books Editor, an excerpt • ”Zapiski Nauchnyh Seminarov LOMI (Leningrad Branch of the Steclov Mathematical Institute)”: - volumes 19 (1970), 22 (1971), 30 (1972), 39 (1974), 47 (1974), 56 (1976), 65 (1976), 73 (1977), 81 (1978; with V.P.Havin), etc - more than 25 issues, up to vol. 255 (1998). • ”Trudy Math. Inst. Steklova”, Moscow, (Russian); 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 (1979), AMS, Providence. - vol.155 ”Spectral Theory of Functions and Operators. II”, 1981, 187 pp; English transl.: Proc. Steklov Math. Inst., 155(1982), 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: - ”Toeplitz operators and spectral function theory. Essays from the Leningrad Seminar on Operator Theory”, vol.42 (1989), 425 pp., Zbl 0677.00024. - (with V.P.Havin) ”Complex Analysis, Operators, and Related Topics. The S.A.Vinogradov memo- rial volume”, vol.113 (2000), 408 pp., Zbl 0934.00031. - (with A.Borichev) ”Systems, Approximation, Singular Integral Operators, and Related Topics”, IWOTA 2000 Proceedings; vol.129 (2001), 527 pp., Zbl 0972.00051. - (with A.Baranov and S.Kisliakov) ”50 Years with Hardy Spaces. A tribute to Victor Havin”, vol.261 (2018), 484 pp., Zbl 06848809. • ”Lecture Notes in Mathematics”, Springer-Verlag: - (with V.P.Havin) ”Complex Analysis and Spectral Theory. Seminar, Leningrad 1979/1980”, vol.864 (1981), 480 pp. - (with V.P.Havin) ”Linear and Complex Analysis Problem Book 3. 341 research problems”, vol. I: 1573 (1994), 488 pp., Zbl 0893.30036; Vol.II: 1574 (1994), 507 pp., Zbl 0893.30037. • (with E.Charpentier) ”Lécons de Mathématiques d’Aujourd’hui”, Vols. 1(2000), 2(2003), and 3(2007), Cassini, Paris. • (with E.Charpentier and A.Lesne) ”L’héritage de Kolmogorov en mathématiques”, (French) Zbl 1137.00330, Collection Echelles. Paris: Belin (ISBN 2-7011-3669-5). 303 pp. (2004). Engl. transl.: ”Kolmogorov’s heritage in mathematics”, Zbl 1136.00010, Berlin: Springer (ISBN 978-3-540-36349-1/hbk). viii, 317 pp. (2007). (See Ref. 3 below). ==References==