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Nikol'skii, Nikolai Kapitonovich

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Total publications: 68
Scientific articles: 57
Presentations: 5

Number of views:
This page:5429
Abstract pages:15320
Full texts:6515
References:531
Nikol'skii, Nikolai Kapitonovich
Professor
Doctor of physico-mathematical sciences (1973)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
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
https://elibrary.ru/author_items.asp?authorid=103567

Publications in Math-Net.Ru
2020
1. N. Nikolski, A. Pushnitski, “Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations”, Algebra i Analiz, 32:6 (2020),  101–123  mathnet
2017
2. N. K. Nikolski, “Binomials whose dilations generate $H^2(\mathbb D)$”, Algebra i Analiz, 29:6 (2017),  159–177  mathnet  mathscinet  elib; St. Petersburg Math. J., 29:6 (2018), 979–992  isi
2016
3. N. Nikolski, “Numerically detectable hidden spectrum of certain integration operators”, Algebra i Analiz, 28:6 (2016),  70–83  mathnet  elib; St. Petersburg Math. J., 28:6 (2017), 773–782  isi  scopus
2013
4. N. Nikolski, “Sublinear dimension growth in the Kreiss Matrix Theorem”, Algebra i Analiz, 25:3 (2013),  3–51  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:3 (2014), 361–396  isi  scopus
2011
5. V. I. Vasyunin, N. K. Nikolskiĭ, “Invertibility threshold for $H^\infty$ trace algebras, and effective matrix inversions”, Algebra i Analiz, 23:1 (2011),  87–110  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 57–73  isi  scopus
2009
6. N. K. Nikolski, “The spectral localization property for diagonal operators and semigroups”, Algebra i Analiz, 21:6 (2009),  202–226  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:6 (2010), 995–1013  isi  scopus
2005
7. N. K. Nikolski, “Condition numbers of large matrices, and analytic capacities”, Algebra i Analiz, 17:4 (2005),  125–180  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 17:4 (2006), 641–682
2002
8. 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  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:4 (2003), 641–653
1998
9. O. El-Fallah, N. K. Nikol'skii, M. Zarrabi, “Estimates for resolvents in Beurling–Sobolev algebras”, Algebra i Analiz, 10:6 (1998),  1–92  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:6 (1999), 901–964
1991
10. V. I. Vasyunin, N. K. Nikol'skii, “Operator-valued measures and coefficients of univalent functions”, Algebra i Analiz, 3:6 (1991),  1–75  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:6 (1991), 1199–1270
1990
11. V. I. Vasyunin, N. K. Nikol'skii, “Quasi-orthogonal decompositions with respect to complementary metrics, and estimates for univalent functions”, Algebra i Analiz, 2:4 (1990),  1–81  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 691–764
1989
12. N. K. Nikolskii, “An elementary description of ideals localization methods”, Zap. Nauchn. Sem. LOMI, 170 (1989),  207–232  mathnet  mathscinet  zmath; J. Soviet Math., 63:2 (1993), 233–245
1987
13. N. K. Nikol'skii, S. V. Khrushchev, “A functional model and some problems of the spectral theory of functions”, Trudy Mat. Inst. Steklov., 176 (1987),  97–210  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 176 (1988), 101–214
1983
14. V. I. Vasyunin, N. K. Nikol'skii, “Classification of $H^2$-functions according to the degree of their cyclicity”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  942–960  mathnet  mathscinet  zmath; Math. USSR-Izv., 23:2 (1984), 225–242
15. N. K. Nikol'skii, “Designs for calculating the spectral multiplicity of orthogonal sums”, Zap. Nauchn. Sem. LOMI, 126 (1983),  150–159  mathnet  mathscinet
1981
16. V. I. Vasyunin, N. K. Nikol'skii, “Control subspaces of minimal dimension. Elementary introduction. Discotheca”, Zap. Nauchn. Sem. LOMI, 113 (1981),  41–75  mathnet  mathscinet; J. Soviet Math., 22:6 (1983), 1719–1742
1980
17. N. K. Nikol'skii, “Bases of exponential functions and values of reproducing kernels”, Dokl. Akad. Nauk SSSR, 252:6 (1980),  1316–1320  mathnet  mathscinet  zmath
1979
18. M. B. Gribov, N. K. Nikol'skii, “Invariant subspaces and rational approximation”, Zap. Nauchn. Sem. LOMI, 92 (1979),  103–114  mathnet  mathscinet  zmath
1978
19. N. K. Nikol'skii, “The technique of using a quotient operator for the localization of $z$-invariant subspaces”, Dokl. Akad. Nauk SSSR, 240:1 (1978),  24–27  mathnet  mathscinet  zmath
20. N. K. Nikol'skii, “Bases of invariant subspaces and operator interpolation”, Trudy Mat. Inst. Steklov., 130 (1978),  50–123  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 130 (1978), 55–132
21. N. K. Nikol'skii, “7.5. Two problems of spectral synthesis”, Zap. Nauchn. Sem. LOMI, 81 (1978),  139–141  mathnet; J. Soviet Math., 26:5 (1984), 2185–2186
22. V. I. Vasyunin, N. K. Nikol'skii, B. S. Pavlov, “7.4. Spectral decomposition and the Carleson condition”, Zap. Nauchn. Sem. LOMI, 81 (1978),  96–98  mathnet; J. Soviet Math., 26:5 (1984), 2152–2153
23. N. K. Nikol'skii, “6.4. Operators and approximation”, Zap. Nauchn. Sem. LOMI, 81 (1978),  94–95  mathnet; J. Soviet Math., 26:5 (1984), 2150–2151
1977
24. N. K. Nikol'skii, “A Tauberian theorem for the spectral radius”, Sibirsk. Mat. Zh., 18:6 (1977),  1367–1372  mathnet  mathscinet  zmath; Siberian Math. J., 18:6 (1977), 969–973  isi
25. L. N. Dovbysh, N. K. Nikol'skii, V. N. Sudakov, “How good can a nonhereditary family be?”, Zap. Nauchn. Sem. LOMI, 73 (1977),  52–69  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2050–2060
1976
26. L. N. Dovbysh, N. K. Nikol'skii, “Two ways of avoiding the hereditary completeness”, Zap. Nauchn. Sem. LOMI, 65 (1976),  183–188  mathnet  mathscinet  zmath; J. Soviet Math., 16:3 (1981), 1175–1179
27. N. K. Nikol'skii, “Lectures on the shift operator. IV”, Zap. Nauchn. Sem. LOMI, 65 (1976),  103–132  mathnet  mathscinet  zmath; J. Soviet Math., 16:3 (1981), 1118–1139
28. N. K. Nikol'skii, “Lectures on the shift operator. III”, Zap. Nauchn. Sem. LOMI, 56 (1976),  104–127  mathnet  mathscinet  zmath; J. Soviet Math., 14:2 (1980), 1103–1120
1974
29. N. K. Nikol'skii, “Spaces with weighted norms: Estimates on the Taylor coefficients and power bases. Boundary norms and Bernstein inequalities”, Dokl. Akad. Nauk SSSR, 217:3 (1974),  529–532  mathnet  mathscinet  zmath
30. N. K. Nikol'skii, “Invariant subspaces in operator theory and function theory”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  199–412  mathnet  mathscinet  zmath; J. Soviet Math., 5:2 (1976), 129–249
31. N. K. Nikol'skii, “Selected problems of weighted approximation and spectral analysis”, Trudy Mat. Inst. Steklov., 120 (1974),  3–272  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 120 (1974), 1–276
32. N. K. Nikol'skii, “Lectures on the shift operator. II”, Zap. Nauchn. Sem. LOMI, 47 (1974),  90–119  mathnet  mathscinet  zmath
33. N. K. Nikol'skii, “Lectures on the shift operator, I”, Zap. Nauchn. Sem. LOMI, 39 (1974),  59–93  mathnet  mathscinet  zmath
1972
34. N. K. Nikol'skii, “Unilateral estimates of the modulus of harmonic functions in a disk and in a strip”, Dokl. Akad. Nauk SSSR, 205:3 (1972),  522–525  mathnet  mathscinet  zmath
35. N. K. Nikol'skii, “A criterion for weak invertibility in spaces of analytic functions that are defined by growth conditions”, Zap. Nauchn. Sem. LOMI, 30 (1972),  106–129  mathnet  mathscinet  zmath
1971
36. N. K. Nikol'skii, “Spectral analysis on the unitary spectrum. The point spectrum”, Dokl. Akad. Nauk SSSR, 199:3 (1971),  544–547  mathnet  mathscinet  zmath
37. N. K. Nikol'skii, “Five problems about invariant subspaces”, Zap. Nauchn. Sem. LOMI, 23 (1971),  115–127  mathnet  mathscinet  zmath
38. N. K. Nikol'skii, “The stability of the unicellularity for analytic perturbations ot the class $\Omega_0^+$”, Zap. Nauchn. Sem. LOMI, 22 (1971),  89–93  mathnet  mathscinet  zmath
39. N. K. Nikol'skii, “On the spectral analysis on the unitary spectrum. Point spectrum. II”, Zap. Nauchn. Sem. LOMI, 22 (1971),  75–88  mathnet  mathscinet  zmath
40. A. S. Markus, L. N. Nikol'skaya, N. K. Nikol'skii, “On the unitary spectrum of contraction operators in the Banach space”, Zap. Nauchn. Sem. LOMI, 22 (1971),  65–74  mathnet  mathscinet  zmath
1970
41. N. K. Nikol'skii, “Spectral synthesis for the shift operator, and zeros in certain classes of analytic functions that are smooth up to the boundary”, Dokl. Akad. Nauk SSSR, 190:4 (1970),  780–783  mathnet  mathscinet  zmath
42. N. K. Nikol'skii, B. S. Pavlov, “Eigenvector bases of completely nonunitary contractions and the characteristic function”, Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  90–133  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:1 (1970), 91–134
43. N. K. Nikol'skii, “The multiple shift operator with simple spectra”, Zap. Nauchn. Sem. LOMI, 19 (1970),  227–236  mathnet  mathscinet  zmath
44. N. K. Nikol'skii, “Nonstandard ideals, unicellularity and algebras connected with the shift operator”, Zap. Nauchn. Sem. LOMI, 19 (1970),  156–195  mathnet  mathscinet  zmath
1969
45. N. K. Nikol'skii, B. S. Pavlov, “Bases from the eigenvectors of totally nonunitary contractions”, Dokl. Akad. Nauk SSSR, 184:4 (1969),  778–781  mathnet  mathscinet  zmath
46. N. K. Nikol'skii, B. S. Pavlov, “Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$”, Dokl. Akad. Nauk SSSR, 184:3 (1969),  550–553  mathnet  mathscinet  zmath
47. N. K. Nikol'skii, “Complete extensions of Volterra operators”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1349–1355  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:6 (1969), 1271–1276
48. N. K. Nikol'skii, “On perturbations of the spectrum of unitary operators”, Mat. Zametki, 5:3 (1969),  341–349  mathnet  mathscinet  zmath; Math. Notes, 5:3 (1969), 207–211
1968
49. N. K. Nikol'skii, “Basicity and single-cellularity of weighted translation operators”, Funktsional. Anal. i Prilozhen., 2:2 (1968),  95–96  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:2 (1968), 184–185
50. N. K. Nikol'skii, “Basicity and unicellularity of weighted shift operators”, Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968),  1123–1137  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:5 (1968), 1077–1089
51. N. K. Nikol'skii, “Closed ideals in certain algebras of entire functions”, Sibirsk. Mat. Zh., 9:1 (1968),  211–215  mathnet  mathscinet  zmath; Siberian Math. J., 9:1 (1968), 160–162
52. N. K. Nikol'skii, “Invariant subspaces of the shift operator and bounded approximation almost everywhere”, Trudy Mat. Inst. Steklov., 96 (1968),  243–257  mathnet  mathscinet  zmath
53. N. K. Nikol'skii, B. S. Pavlov, “Expansions in characteristic vectors of nonunitary operators and the characteristic vectors of nonunitary operators and the characteristic function”, Zap. Nauchn. Sem. LOMI, 11 (1968),  150–203  mathnet  mathscinet  zmath
1967
54. N. K. Nikol'skii, “Unicellularity and non-unicellularity of weighted shift operators”, Dokl. Akad. Nauk SSSR, 172:2 (1967),  287–290  mathnet  mathscinet  zmath
55. N. K. Nikol'skii, “Invariant subspaces of weighted shift operators”, Mat. Sb. (N.S.), 74(116):2 (1967),  171–190  mathnet  mathscinet  zmath; Math. USSR-Sb., 3:2 (1967), 159–176
1966
56. N. K. Nikol'skii, “Invariant subspaces of the shift operator and weakly invertible elements in $L^\infty$”, Dokl. Akad. Nauk SSSR, 167:5 (1966),  985–988  mathnet  mathscinet  zmath
57. N. K. Nikol'skii, “On spaces and algebras of Toeplitz matrices operating in $l^p$”, Sibirsk. Mat. Zh., 7:1 (1966),  146–158  mathnet  mathscinet  zmath; Siberian Math. J., 7:1 (1966), 118–126

2010
58. 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, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:3 (2010), 569–575  isi
1991
59. N. K. Nikol'skii, “Т. W. Körner. “Fourier Analysis”. Cambridge: Cambridge University Press, 1988, xii+591 pp.”, Algebra i Analiz, 3:1 (1991),  258–264  mathnet  mathscinet
1990
60. N. K. Nikol'skii, V. A. Tolokonnikov, S. R. Treil', “A. Böttcher, B. Silbermann. Analysis of Toeplitz Operators. Berlin: Akademie, 1989”, Algebra i Analiz, 2:5 (1990),  220–235  mathnet  mathscinet  zmath
1989
61. N. K. Nikol'skii, V. P. Havin, “Предисловие”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 42 (1989),  5  mathnet
1987
62. N. K. Nikol'skii, V. P. Havin, “Preface”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 15 (1987),  5–6  mathnet
63. I. M. Gel'fand, M. G. Krein, V. A. Marchenko, N. K. Nikol'skii, I. V. Ostrovskii, “Boris Yakovlevich Levin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 42:4(256) (1987),  207–210  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:4 (1987), 175–176  isi
1978
64. N. K. Nikol'skii, “Editor's preface”, Trudy Mat. Inst. Steklov., 130 (1978),  4  mathnet
65. N. K. Nikol'skii, V. P. Khavin, S. V. Khrushchev, “Prefase”, Zap. Nauchn. Sem. LOMI, 81 (1978),  7–9  mathnet; J. Soviet Math., 26:5 (1984), I–II
1974
66. N. K. Nikol'skii, “Preface of the Editor”, Zap. Nauchn. Sem. LOMI, 39 (1974),  6  mathnet
1971
67. N. K. Nikol'skii, “Editor's preface”, Zap. Nauchn. Sem. LOMI, 22 (1971),  7  mathnet
1970
68. N. K. Nikol'skii, “Preface”, Zap. Nauchn. Sem. LOMI, 19 (1970),  5  mathnet

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

Organisations
 
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