Shirokov Nikolai Alekseevich

Publications in Math-Net.Ru

1. Polynomial approximation in the mean on segments
   
   Algebra i Analiz, 36:5 (2024),  163–172
2. Constructive description of Hölder spaces on a chord arc curve in $\mathbb R^3$
   
   Algebra i Analiz, 36:1 (2024),  40–59
3. Approximation by double periodic functions in the class $C^r_A$
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:3 (2024),  508–516
4. Inverse theorem of approximation by entire functions of exponential type
   
   Zap. Nauchn. Sem. POMI, 537 (2024),  104–115
5. Approximation by polynomials composed of Weierstrass doubly periodic functions
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:1 (2023),  61–72
6. Polynomial approximation by doubly periodic Weierstrass functions on disjoint segments in the $L^P$ metric
   
   Zap. Nauchn. Sem. POMI, 527 (2023),  242–255
7. Ahlfors-type theorem for Hausdorff measures
   
   Zap. Nauchn. Sem. POMI, 527 (2023),  221–241
8. B. Ya. Levin function for some sets of segments
   
   Zap. Nauchn. Sem. POMI, 527 (2023),  183–203
9. Hölder classes in the $L^p$ norm on a chord-arc curve in $\mathbb R^3$
   
   Algebra i Analiz, 34:4 (2022),  1–21
10. Conformal maps of a region that is geometrically close to a disk
    
    Zap. Nauchn. Sem. POMI, 512 (2022),  116–147
11. Nevanlinna factorization in weighted classes of analytic functions of variable smoothness
    
    Izv. RAN. Ser. Mat., 85:3 (2021),  261–283
12. Approximation by entire functions on a countable set of continua. The inverse theorem
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:4 (2021),  600–607
13. Polynomial approximations in a convex domain in $\mathbb C^n$ with the exponential decaying inside
    
    Zap. Nauchn. Sem. POMI, 503 (2021),  154–171
14. Inner factors of analytic functions of variable smoothness in the closed disk
    
    Algebra i Analiz, 32:5 (2020),  145–181
15. Approximation by entire functions on a countable set of continuums
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020),  481–489
16. Constructive description of function classes on surfaces in $\mathbb{R}^3$ and $\mathbb{R}^4$
    
    Probl. Anal. Issues Anal., 8(26):3 (2019),  16–23
17. Outer functions in classes of analytic functions of variable smoothness
    
    Zap. Nauchn. Sem. POMI, 480 (2019),  206–213
18. About sharpness of the estimate in a theorem concerning half smoothness of a function holomorphic in a ball
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  244–254
19. A note about approximation by trigonometric polynomials
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  238–243
20. Interpolation in a Bernstein space by means of approximation
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  215–237
21. Smoothness of a holomorphic function and its modulus on the boundary of a polydisk
    
    Zap. Nauchn. Sem. POMI, 456 (2017),  172–176
22. Means of the power $-2$ of derivatives in the class $S$
    
    Algebra i Analiz, 28:6 (2016),  189–207
23. Smoothness of a holomorphic function in a ball and smoothness of its modulus on the sphere
    
    Zap. Nauchn. Sem. POMI, 447 (2016),  123–128
24. Smoothness of a conformal mapping on a subset of the boundary
    
    Algebra i Analiz, 27:5 (2015),  195–206
25. Sufficient condition for Hölder smoothness of a function
    
    Algebra i Analiz, 25:3 (2013),  200–206
26. A series of operators in $L^2(\mathbb C)$ proportional to unitary ones
    
    Zap. Nauchn. Sem. POMI, 416 (2013),  188–201
27. Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping
    
    Zap. Nauchn. Sem. POMI, 389 (2011),  252–256
28. Approximation by entire functions on subsets of a ray
    
    Zap. Nauchn. Sem. POMI, 337 (2006),  233–237
29. Uniform polynomial approximations on convex domains in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 333 (2006),  98–112
30. On the decay rate of $(p,A)$-lacunary series
    
    Zap. Nauchn. Sem. POMI, 327 (2005),  135–149
31. Remark about the maximum of the modulus of an analytic function on the boundary
    
    Zap. Nauchn. Sem. POMI, 315 (2004),  149–154
32. A converse approximation theorem on subsets of elliptic curves
    
    Zap. Nauchn. Sem. POMI, 314 (2004),  257–271
33. Zero-sets for $H^\infty$-functions on hyperplanes in $\mathbb B^n$
    
    Zap. Nauchn. Sem. POMI, 303 (2003),  272–278
34. Polynomial approximations on closed subsets of elliptic curves
    
    Zap. Nauchn. Sem. POMI, 302 (2003),  178–187
35. Inverse approximation theorem on an infinite union of segments
    
    Zap. Nauchn. Sem. POMI, 290 (2002),  168–176
36. Hölder classes in Lavrent'ev domians
    
    Zap. Nauchn. Sem. POMI, 282 (2001),  256–275
37. An example of a fast decaying $(p,A)$-lacunary function
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  350–363
38. Polynomial approximation in the $L^p$-metric on disjoint segments
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  175–200
39. On an extremal problem in the Wiener algebra
    
    Algebra i Analiz, 11:6 (1999),  122–138
40. A class of functions on a disjoint collection of segments
    
    Zap. Nauchn. Sem. POMI, 262 (1999),  172–184
41. Approximation of functions belonging to the Hölder class on a half-axis
    
    Zap. Nauchn. Sem. POMI, 262 (1999),  127–137
42. Interpolation in a neighborhood of a cusp point
    
    Algebra i Analiz, 10:4 (1998),  142–176
43. Approximation by polynomials on compacta with infinitely connected complement
    
    Algebra i Analiz, 10:1 (1998),  248–264
44. A variational formula for Bergman kernels
    
    Zap. Nauchn. Sem. POMI, 255 (1998),  221–243
45. Constructive descriptions of classes of functions with the help of polynomial approximations. II
    
    Zap. Nauchn. Sem. POMI, 254 (1998),  235–243
46. Constructive descriptions of classes of functions with the help of polynomial approximations. I
    
    Zap. Nauchn. Sem. POMI, 254 (1998),  207–234
47. Concerning an analog of the Stolz angle for the unit ball in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 247 (1997),  276–297
48. Inner functions in O. V. Besov's analytic classes
    
    Algebra i Analiz, 8:4 (1996),  193–221
49. Approximation on limit compacta of Kleinian groups
    
    Zap. Nauchn. Sem. POMI, 232 (1996),  199–212
50. Estimates of the Bergman kernel for some pseudoconvex domains
    
    Zap. Nauchn. Sem. POMI, 222 (1995),  222–245
51. Polynomial $D$-approximations that exponentially decrease strictly inside a continuum
    
    Algebra i Analiz, 6:6 (1994),  154–184
52. Approximation in the sense of V. K. Dzyadyk on compacta with an infinitely connected complement
    
    Dokl. Akad. Nauk, 335:6 (1994),  700–701
53. Outer functions from the analytic О. V. Besov classes
    
    Zap. Nauchn. Sem. POMI, 217 (1994),  172–217
54. A direct theorem for strictly convex domains in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 206 (1993),  151–173
55. Approximation on the limit continuous of a degenerate Kleinian group
    
    Zap. Nauchn. Sem. POMI, 206 (1993),  137–150
56. One a type of automorphic forms
    
    Zap. Nauchn. Sem. POMI, 201 (1992),  177–189
57. Some consequences of the Lindelöf conjecture
    
    Zap. Nauchn. Sem. POMI, 201 (1992),  164–176
58. The Bergman kernel near the diagonal for domains close to ellipsoids
    
    Zap. Nauchn. Sem. LOMI, 190 (1991),  163–172
59. Fuchsian groups with carleson limit sets
    
    Funktsional. Anal. i Prilozhen., 24:4 (1990),  92–93
60. A constructive description of Hölder classes on unbounded continua in $\mathbf{C}$
    
    Dokl. Akad. Nauk SSSR, 299:6 (1988),  1332–1336
61. She quantitative version of the Kado theorem
    
    Zap. Nauchn. Sem. LOMI, 157 (1987),  103–112
62. The Jackson–Bernstein theorem in strictly pseudoconvex domains in $\mathbf{C}^n$
    
    Dokl. Akad. Nauk SSSR, 287:1 (1986),  66–69
63. A note on Puchsian groups
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  181–185
64. A note on a theorem of V. V. Andrievskii
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  177–180
65. Traces of functions from $H^{\infty}(\mathbb B^n)$ on certain sets of hyperplanes
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  183–191
66. A constructive description of Hölder classes on closed Jordan curves
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  72–99
67. The Jackson–Bernstein theorem and strictly convex domains in $\mathbf{C}^n$
    
    Dokl. Akad. Nauk SSSR, 276:5 (1984),  1079–1081
68. On a theorem of A. G. Vitushkin
    
    Zap. Nauchn. Sem. LOMI, 135 (1984),  178–181
69. Properties of the moduli of analytic functions that are smooth up to the boundary
    
    Dokl. Akad. Nauk SSSR, 269:6 (1983),  1320–1323
70. Division by an inner function does not change the class of smoothness
    
    Dokl. Akad. Nauk SSSR, 268:4 (1983),  821–823
71. The Hevanlinna factorization in some classes of analytical functions
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  205–207
72. Closed ideals of algebras of type $B_{p,q}^\alpha$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:6 (1982),  1316–1332
73. Some properties of weakly lacunary power series
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  249–250
74. Free interpolation in the spaces $ C^A_{r,\omega}$
    
    Mat. Sb. (N.S.), 117(159):3 (1982),  337–358
75. Zero sets for functions from $\Lambda_\omega$
    
    Zap. Nauchn. Sem. LOMI, 107 (1982),  178–188
76. Modulus of boundary values of analytic functions of class $\Lambda^n_\omega$
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  258–260
77. Sets of zeros of analytic functions from the space $B_{p,1}^{1/p}$ are carlesonian
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  253–257
78. Standard ideals of algebra $H_n^1$
    
    Funktsional. Anal. i Prilozhen., 13:1 (1979),  86–87
79. A constructive description of spaces of functions analytic in a multiconnected domain and continuous in its closure
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  314–316
80. A remark concerning a problem of S. M. Nikolskii
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  312–313
81. Approximative properties of a continuum
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  241–252
82. Ideals and factorization in algebras of analytic functions that are smooth up to the boundary
    
    Trudy Mat. Inst. Steklov., 130 (1978),  196–222
83. 5.11. On the traces of $H^\infty(\mathbb B^N)$ functions on the hyperplanes
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  264–265
84. Approximate entropy of continua
    
    Dokl. Akad. Nauk SSSR, 235:3 (1977),  546–549
85. Approximation of continuous analytic functions in domains with bounded boundary rotation
    
    Dokl. Akad. Nauk SSSR, 228:4 (1976),  809–812
86. Uniform approximation of analytic functions by polynomials in domains of bounded boundary rotation without zero angles
    
    Zap. Nauchn. Sem. LOMI, 65 (1976),  199–202
87. Some embedding theorem for spaces of harmonic functions
    
    Zap. Nauchn. Sem. LOMI, 56 (1976),  191–194
88. On a constructive characterization of analytic continuous functions in close-to-convex domains
    
    Dokl. Akad. Nauk SSSR, 221:4 (1975),  790–793
89. On weighted approximations on closed sets with corners
    
    Dokl. Akad. Nauk SSSR, 214:2 (1974),  295–297
90. On a generalization of Ahlfors' theorem
    
    Zap. Nauchn. Sem. LOMI, 44 (1974),  179–185
91. A rejmark to a theorem of V. P. Gurarii
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  196–197
92. Borne generalization of the Littlewood Paley theorem
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  162–175
93. Some properties of primary ideals of absolutely convergent Taylor series and Fourier integrals
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  149–161
94. On uniform approximation of functions on closed sets having a finite number of corner points with nonzero exterior angles
    
    Dokl. Akad. Nauk SSSR, 205:4 (1972),  798–800
95. Обобщение теоремы Литтлвуда–Пэли
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  179–180
96. Zeros of analytic functions with a derivative in $H^1$
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  154–157
97. On Hayman's regularity theorem
    
    Zap. Nauchn. Sem. LOMI, 24 (1972),  182–200
98. On the factorization of analytic functions with the derivative in $H^p$
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  8–27


99. Odinets Vladimir Petrovich (on his 65th birthday)
    
    Vladikavkaz. Mat. Zh., 12:4 (2010),  79–81
100. Garal'd Isidorovich Natanson (obituary)
     
     Uspekhi Mat. Nauk, 59:4(358) (2004),  181–185
101. Nikolai Andreevich Lebedev and the Leningrad school of function theory in the 1950–1970s
     
     Zap. Nauchn. Sem. POMI, 276 (2001),  5–19
102. Isaak Moiseevich Milin (obituary)
     
     Uspekhi Mat. Nauk, 48:4(292) (1993),  167–168
103. Nikolai Andreevich Lebedev (obituary)
     
     Uspekhi Mat. Nauk, 38:2(230) (1983),  195–199