Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +33 (0) 5 40 00 60 61
Fax: +7 (812) 310 53 77
E-mail:
Keywords: Hardy classes, condition numbers, resolvets, functional calculus.
UDC: 513.88, 517.948.35, 517.948.5, 519.4, 513.882, 517.54, 513.8, 517.8, 517.97

Subject:

Operator theory, harmonic and complex analysis.

Main publications:

1. O. El-Fallah, N. K. Nikol'skii, M. Zarrabi, “Estimates for resolvents in Beurling-Sobolev algebras”, Algebra i Analiz, 10:6 (1998), 1–92    ; English transl., St. Petersburg Math. J., 10:6 (1999), 901–964    
2. N. Nikolski, “Remarks concerning completeness of translates in function spaces”, J. Approx. Theory, 98:2 (1999), 303–315      
3. N. K. Nikolskii, “In search of the invisible spectrum”, Ann. Inst. Fourier (Grenoble), 49:6 (1999), 1925–1998    
4. N. Nikolski, S. Treil, “Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator”, J. Anal. Math., 87 (2002), 415–431      
5. N. Nikolski, “Estimates of the spectral radius and the semigroup growth bound in terms of the resolvent and weak asymptotics”, Algebra i Analiz, 14:4 (2002), 141–157  ; St. Petersburg Math. J., 14:4 (2003), 641–653  
6. N. K. Nikolski, “Condition numbers of large matrices, and analytic capacities”, Algebra i Analiz, 17:4 (2005), 125–180    ; English transl., St. Petersburg Math. J., 17:4 (2006), 641–682      

Publications in Math-Net.Ru

Books in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
• Université Bordeaux 1, UFR de Mathématiques et Informatique
• St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences