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Nikol'skii Nikolai Kapitonovich

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Total publications: 62
Scientific articles: 51
Presentations: 5

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This page:3516
Abstract pages:11057
Full texts:4388
References:426
Nikol'skii Nikolai Kapitonovich
Professor
Doctor of physico-mathematical sciences (1973)
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  mathscinet  zmath; English transl., St. Petersburg Math. J., 10:6 (1999), 901–964  mathscinet  zmath
  2. N. Nikolski, “Remarks concerning completeness of translates in function spaces”, J. Approx. Theory, 98:2 (1999), 303–315  crossref  mathscinet  zmath
  3. N. K. Nikolskii, “In search of the invisible spectrum”, Ann. Inst. Fourier (Grenoble), 49:6 (1999), 1925–1998  mathscinet  zmath
  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  crossref  mathscinet  zmath
  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  mathscinet; St. Petersburg Math. J., 14:4 (2003), 641–653  mathscinet
  6. N. K. Nikolski, “Condition numbers of large matrices, and analytic capacities”, Algebra i Analiz, 17:4 (2005), 125–180  mathscinet  zmath; English transl., St. Petersburg Math. J., 17:4 (2006), 641–682  crossref  mathscinet  zmath

http://www.mathnet.ru/eng/person22328
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195448
http://elibrary.ru/author_items.asp?authorid=103567

Publications in Math-Net.Ru
1. Binomials whose dilations generate $H^2(\mathbb D)$
N. K. Nikolski
Algebra i Analiz, 29:6 (2017),  159–177
2. Numerically detectable hidden spectrum of certain integration operators
N. Nikolski
Algebra i Analiz, 28:6 (2016),  70–83
3. Sublinear dimension growth in the Kreiss Matrix Theorem
N. Nikolski
Algebra i Analiz, 25:3 (2013),  3–51
4. Invertibility threshold for $H^\infty$ trace algebras, and effective matrix inversions
V. I. Vasyunin, N. K. Nikolskiĭ
Algebra i Analiz, 23:1 (2011),  87–110
5. The spectral localization property for diagonal operators and semigroups
N. K. Nikolski
Algebra i Analiz, 21:6 (2009),  202–226
6. Condition numbers of large matrices, and analytic capacities
N. K. Nikolski
Algebra i Analiz, 17:4 (2005),  125–180
7. Estimates of the spectral radius and the semigroup growth bound in terms of the resolvent and weak asymptotics
N. Nikolski
Algebra i Analiz, 14:4 (2002),  141–157
8. Estimates for resolvents in Beurling–Sobolev algebras
O. El-Fallah, N. K. Nikol'skii, M. Zarrabi
Algebra i Analiz, 10:6 (1998),  1–92
9. Operator-valued measures and coefficients of univalent functions
V. I. Vasyunin, N. K. Nikol'skii
Algebra i Analiz, 3:6 (1991),  1–75
10. Quasi-orthogonal decompositions with respect to complementary metrics, and estimates for univalent functions
V. I. Vasyunin, N. K. Nikol'skii
Algebra i Analiz, 2:4 (1990),  1–81
11. An elementary description of ideals localization methods
N. K. Nikolskii
Zap. Nauchn. Sem. LOMI, 170 (1989),  207–232
12. A functional model and some problems of the spectral theory of functions
N. K. Nikol'skii, S. V. Khrushchev
Trudy Mat. Inst. Steklov., 176 (1987),  97–210
13. Classification of $H^2$-functions according to the degree of their cyclicity
V. I. Vasyunin, N. K. Nikol'skii
Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  942–960
14. Designs for calculating the spectral multiplicity of orthogonal sums
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 126 (1983),  150–159
15. Control subspaces of minimal dimension. Elementary introduction. Discotheca
V. I. Vasyunin, N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 113 (1981),  41–75
16. Invariant subspaces and rational approximation
M. B. Gribov, N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 92 (1979),  103–114
17. Bases of invariant subspaces and operator interpolation
N. K. Nikol'skii
Trudy Mat. Inst. Steklov., 130 (1978),  50–123
18. 7.5. Two problems of spectral synthesis
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 81 (1978),  139–141
19. 7.4. Spectral decomposition and the Carleson condition
V. I. Vasyunin, N. K. Nikol'skii, B. S. Pavlov
Zap. Nauchn. Sem. LOMI, 81 (1978),  96–98
20. 6.4. Operators and approximation
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 81 (1978),  94–95
21. How good can a nonhereditary family be?
L. N. Dovbysh, N. K. Nikol'skii, V. N. Sudakov
Zap. Nauchn. Sem. LOMI, 73 (1977),  52–69
22. Two ways of avoiding the hereditary completeness
L. N. Dovbysh, N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 65 (1976),  183–188
23. Lectures on the shift operator. IV
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 65 (1976),  103–132
24. Lectures on the shift operator. III
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 56 (1976),  104–127
25. Spaces with weighted norms: Estimates on the Taylor coefficients and power bases. Boundary norms and Bernstein inequalities
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 217:3 (1974),  529–532
26. Invariant subspaces in operator theory and function theory
N. K. Nikol'skii
Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  199–412
27. Selected problems of weighted approximation and spectral analysis
N. K. Nikol'skii
Trudy Mat. Inst. Steklov., 120 (1974),  3–272
28. Lectures on the shift operator. II
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 47 (1974),  90–119
29. Lectures on the shift operator, I
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 39 (1974),  59–93
30. Unilateral estimates of the modulus of harmonic functions in a disk and in a strip
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 205:3 (1972),  522–525
31. A criterion for weak invertibility in spaces of analytic functions that are defined by growth conditions
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 30 (1972),  106–129
32. Spectral analysis on the unitary spectrum. The point spectrum
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 199:3 (1971),  544–547
33. Five problems about invariant subspaces
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 23 (1971),  115–127
34. The stability of the unicellularity for analytic perturbations ot the class $\Omega_0^+$
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 22 (1971),  89–93
35. On the spectral analysis on the unitary spectrum. Point spectrum. II
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 22 (1971),  75–88
36. On the unitary spectrum of contraction operators in the Banach space
A. S. Markus, L. N. Nikol'skaya, N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 22 (1971),  65–74
37. Spectral synthesis for the shift operator, and zeros in certain classes of analytic functions that are smooth up to the boundary
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 190:4 (1970),  780–783
38. Eigenvector bases of completely nonunitary contractions and the characteristic function
N. K. Nikol'skii, B. S. Pavlov
Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  90–133
39. The multiple shift operator with simple spectra
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 19 (1970),  227–236
40. Nonstandard ideals, unicellularity and algebras connected with the shift operator
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 19 (1970),  156–195
41. Bases from the eigenvectors of totally nonunitary contractions
N. K. Nikol'skii, B. S. Pavlov
Dokl. Akad. Nauk SSSR, 184:4 (1969),  778–781
42. Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$
N. K. Nikol'skii, B. S. Pavlov
Dokl. Akad. Nauk SSSR, 184:3 (1969),  550–553
43. Complete extensions of Volterra operators
N. K. Nikol'skii
Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1349–1355
44. On perturbations of the spectrum of unitary operators
N. K. Nikol'skii
Mat. Zametki, 5:3 (1969),  341–349
45. Basicity and single-cellularity of weighted translation operators
N. K. Nikol'skii
Funktsional. Anal. i Prilozhen., 2:2 (1968),  95–96
46. Basicity and unicellularity of weighted shift operators
N. K. Nikol'skii
Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968),  1123–1137
47. Invariant subspaces of the shift operator and bounded approximation almost everywhere
N. K. Nikol'skii
Trudy Mat. Inst. Steklov., 96 (1968),  243–257
48. Expansions in characteristic vectors of nonunitary operators and the characteristic vectors of nonunitary operators and the characteristic function
N. K. Nikol'skii, B. S. Pavlov
Zap. Nauchn. Sem. LOMI, 11 (1968),  150–203
49. Unicellularity and non-unicellularity of weighted shift operators
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 172:2 (1967),  287–290
50. Invariant subspaces of weighted shift operators
N. K. Nikol'skii
Mat. Sb. (N.S.), 74(116):2 (1967),  171–190
51. Invariant subspaces of the shift operator and weakly invertible elements in $L^\infty$
N. K. Nikol'skii
Dokl. Akad. Nauk SSSR, 167:5 (1966),  985–988

52. Mikhail Shlemovich Birman (obituary)
V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev
Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
53. Т. W. Körner. “Fourier Analysis”. Cambridge: Cambridge University Press, 1988, xii+591 pp.
N. K. Nikol'skii
Algebra i Analiz, 3:1 (1991),  258–264
54. A. Böttcher, B. Silbermann. Analysis of Toeplitz Operators. Berlin: Akademie, 1989
N. K. Nikol'skii, V. A. Tolokonnikov, S. R. Treil'
Algebra i Analiz, 2:5 (1990),  220–235
55. Предисловие
N. K. Nikol'skii, V. P. Havin
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 42 (1989),  5
56. Preface
N. K. Nikol'skii, V. P. Havin
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 15 (1987),  5–6
57. Boris Yakovlevich Levin (on his eightieth birthday)
I. M. Gel'fand, M. G. Krein, V. A. Marchenko, N. K. Nikol'skii, I. V. Ostrovskii
Uspekhi Mat. Nauk, 42:4(256) (1987),  207–210
58. Editor's preface
N. K. Nikol'skii
Trudy Mat. Inst. Steklov., 130 (1978),  4
59. Prefase
N. K. Nikol'skii, V. P. Khavin, S. V. Khrushchev
Zap. Nauchn. Sem. LOMI, 81 (1978),  7–9
60. Preface of the Editor
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 39 (1974),  6
61. Editor's preface
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 22 (1971),  7
62. Preface
N. K. Nikol'skii
Zap. Nauchn. Sem. LOMI, 19 (1970),  5

Presentations in Math-Net.Ru
1. К математической биографии В. П. Хавина – 50 лет в пространствах Харди
N. K. Nikol'skii
Meetings of the St. Petersburg Mathematical Society
December 29, 2015 18:00   
2. Пространства L^2 с весами Леви-Хинчина и их мультипликаторы Фурье.
N. K. Nikol'skii
Seminar on Operator Theory and Function Theory
December 5, 2013 15:00
3. Циклические векторы одной «арифметической» полугруппы, навеянные гипотезой Римана
N. K. Nikol'skii
Seminar on Operator Theory and Function Theory
October 31, 2011 17:30
4. A few interesting (for me but not only) problems in classical Analysis
N. Nikolski
Mathematics - XXI century. PDMI 70th anniversary
September 17, 2010 11:20   
5. Kadison–Singer problem is provokingly elementary?
N. K. Nikol'skii
Meetings of the St. Petersburg Mathematical Society
January 25, 2007

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