Nikol'skii Nikolai Kapitonovich

Publications in Math-Net.Ru

1. Three dimensions of metric-measure spaces, Sobolev embeddings and optimal sign transport
   
   Algebra i Analiz, 34:2 (2022),  118–151
2. Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations
   
   Algebra i Analiz, 32:6 (2020),  101–123
3. Binomials whose dilations generate $H^2(\mathbb D)$
   
   Algebra i Analiz, 29:6 (2017),  159–177
4. Numerically detectable hidden spectrum of certain integration operators
   
   Algebra i Analiz, 28:6 (2016),  70–83
5. Sublinear dimension growth in the Kreiss Matrix Theorem
   
   Algebra i Analiz, 25:3 (2013),  3–51
6. Invertibility threshold for $H^\infty$ trace algebras, and effective matrix inversions
   
   Algebra i Analiz, 23:1 (2011),  87–110
7. The spectral localization property for diagonal operators and semigroups
   
   Algebra i Analiz, 21:6 (2009),  202–226
8. Condition numbers of large matrices, and analytic capacities
   
   Algebra i Analiz, 17:4 (2005),  125–180
9. 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
10. Estimates for resolvents in Beurling–Sobolev algebras
    
    Algebra i Analiz, 10:6 (1998),  1–92
11. Operator-valued measures and coefficients of univalent functions
    
    Algebra i Analiz, 3:6 (1991),  1–75
12. Quasi-orthogonal decompositions with respect to complementary metrics, and estimates for univalent functions
    
    Algebra i Analiz, 2:4 (1990),  1–81
13. An elementary description of ideals localization methods
    
    Zap. Nauchn. Sem. LOMI, 170 (1989),  207–232
14. A functional model and some problems of the spectral theory of functions
    
    Trudy Mat. Inst. Steklov., 176 (1987),  97–210
15. Classification of $H^2$-functions according to the degree of their cyclicity
    
    Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  942–960
16. Designs for calculating the spectral multiplicity of orthogonal sums
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  150–159
17. Control subspaces of minimal dimension. Elementary introduction. Discotheca
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  41–75
18. Bases of exponential functions and values of reproducing kernels
    
    Dokl. Akad. Nauk SSSR, 252:6 (1980),  1316–1320
19. Invariant subspaces and rational approximation
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  103–114
20. The technique of using a quotient operator for the localization of $z$-invariant subspaces
    
    Dokl. Akad. Nauk SSSR, 240:1 (1978),  24–27
21. Bases of invariant subspaces and operator interpolation
    
    Trudy Mat. Inst. Steklov., 130 (1978),  50–123
22. 7.5. Two problems of spectral synthesis
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  139–141
23. 7.4. Spectral decomposition and the Carleson condition
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  96–98
24. 6.4. Operators and approximation
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  94–95
25. A Tauberian theorem for the spectral radius
    
    Sibirsk. Mat. Zh., 18:6 (1977),  1367–1372
26. How good can a nonhereditary family be?
    
    Zap. Nauchn. Sem. LOMI, 73 (1977),  52–69
27. Two ways of avoiding the hereditary completeness
    
    Zap. Nauchn. Sem. LOMI, 65 (1976),  183–188
28. Lectures on the shift operator. IV
    
    Zap. Nauchn. Sem. LOMI, 65 (1976),  103–132
29. Lectures on the shift operator. III
    
    Zap. Nauchn. Sem. LOMI, 56 (1976),  104–127
30. 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
31. Invariant subspaces in operator theory and function theory
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  199–412
32. Selected problems of weighted approximation and spectral analysis
    
    Trudy Mat. Inst. Steklov., 120 (1974),  3–272
33. Lectures on the shift operator. II
    
    Zap. Nauchn. Sem. LOMI, 47 (1974),  90–119
34. Lectures on the shift operator, I
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  59–93
35. Unilateral estimates of the modulus of harmonic functions in a disk and in a strip
    
    Dokl. Akad. Nauk SSSR, 205:3 (1972),  522–525
36. A criterion for weak invertibility in spaces of analytic functions that are defined by growth conditions
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  106–129
37. Spectral analysis on the unitary spectrum. The point spectrum
    
    Dokl. Akad. Nauk SSSR, 199:3 (1971),  544–547
38. Five problems about invariant subspaces
    
    Zap. Nauchn. Sem. LOMI, 23 (1971),  115–127
39. The stability of the unicellularity for analytic perturbations ot the class $\Omega_0^+$
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  89–93
40. On the spectral analysis on the unitary spectrum. Point spectrum. II
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  75–88
41. On the unitary spectrum of contraction operators in the Banach space
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  65–74
42. 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
43. Eigenvector bases of completely nonunitary contractions and the characteristic function
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  90–133
44. The multiple shift operator with simple spectra
    
    Zap. Nauchn. Sem. LOMI, 19 (1970),  227–236
45. Nonstandard ideals, unicellularity and algebras connected with the shift operator
    
    Zap. Nauchn. Sem. LOMI, 19 (1970),  156–195
46. Bases from the eigenvectors of totally nonunitary contractions
    
    Dokl. Akad. Nauk SSSR, 184:4 (1969),  778–781
47. Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$
    
    Dokl. Akad. Nauk SSSR, 184:3 (1969),  550–553
48. Complete extensions of Volterra operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1349–1355
49. On perturbations of the spectrum of unitary operators
    
    Mat. Zametki, 5:3 (1969),  341–349
50. Basicity and single-cellularity of weighted translation operators
    
    Funktsional. Anal. i Prilozhen., 2:2 (1968),  95–96
51. Basicity and unicellularity of weighted shift operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968),  1123–1137
52. Closed ideals in certain algebras of entire functions
    
    Sibirsk. Mat. Zh., 9:1 (1968),  211–215
53. Invariant subspaces of the shift operator and bounded approximation almost everywhere
    
    Trudy Mat. Inst. Steklov., 96 (1968),  243–257
54. 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
55. Unicellularity and non-unicellularity of weighted shift operators
    
    Dokl. Akad. Nauk SSSR, 172:2 (1967),  287–290
56. Invariant subspaces of weighted shift operators
    
    Mat. Sb. (N.S.), 74(116):2 (1967),  171–190
57. Invariant subspaces of the shift operator and weakly invertible elements in $L^\infty$
    
    Dokl. Akad. Nauk SSSR, 167:5 (1966),  985–988
58. On spaces and algebras of Toeplitz matrices operating in $l^p$
    
    Sibirsk. Mat. Zh., 7:1 (1966),  146–158


59. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
60. Т. W. Körner. “Fourier Analysis”. Cambridge: Cambridge University Press, 1988, xii+591 pp.
    
    Algebra i Analiz, 3:1 (1991),  258–264
61. A. Böttcher, B. Silbermann. Analysis of Toeplitz Operators. Berlin: Akademie, 1989
    
    Algebra i Analiz, 2:5 (1990),  220–235
62. Предисловие
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 42 (1989),  5
63. Preface
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 15 (1987),  5–6
64. Boris Yakovlevich Levin (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 42:4(256) (1987),  207–210
65. Editor's preface
    
    Trudy Mat. Inst. Steklov., 130 (1978),  4
66. Prefase
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  7–9
67. Preface of the Editor
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  6
68. Editor's preface
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  7
69. Preface
    
    Zap. Nauchn. Sem. LOMI, 19 (1970),  5