Shirokov Nikolai Alekseevich

Publications in Math-Net.Ru

1. Entire functions of exponential type in the problem of approximation on disjoint segments
   
   Zap. Nauchn. Sem. POMI, 545 (2025),  179–205
2. Multiplicative polynomial approximation
   
   Zap. Nauchn. Sem. POMI, 545 (2025),  157–167
3. Generalization of a theorem of I. I. Privalov
   
   Zap. Nauchn. Sem. POMI, 545 (2025),  145–156
4. Polynomial approximation in the mean on segments
   
   Algebra i Analiz, 36:5 (2024),  163–172
5. Constructive description of Hölder spaces on a chord arc curve in $\mathbb R^3$
   
   Algebra i Analiz, 36:1 (2024),  40–59
6. About the role of St. Petersburg in the formation of mathematical analysis
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:4 (2024),  605–626
7. Approximation by double periodic functions in the class $C^r_A$
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:3 (2024),  508–516
8. Inverse theorem of approximation by entire functions of exponential type
   
   Zap. Nauchn. Sem. POMI, 537 (2024),  104–115
9. Approximation by polynomials composed of Weierstrass doubly periodic functions
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:1 (2023),  61–72
10. Polynomial approximation by doubly periodic Weierstrass functions on disjoint segments in the $L^P$ metric
    
    Zap. Nauchn. Sem. POMI, 527 (2023),  242–255
11. Ahlfors-type theorem for Hausdorff measures
    
    Zap. Nauchn. Sem. POMI, 527 (2023),  221–241
12. B. Ya. Levin function for some sets of segments
    
    Zap. Nauchn. Sem. POMI, 527 (2023),  183–203
13. Hölder classes in the $L^p$ norm on a chord-arc curve in $\mathbb R^3$
    
    Algebra i Analiz, 34:4 (2022),  1–21
14. Conformal maps of a region that is geometrically close to a disk
    
    Zap. Nauchn. Sem. POMI, 512 (2022),  116–147
15. Nevanlinna factorization in weighted classes of analytic functions of variable smoothness
    
    Izv. RAN. Ser. Mat., 85:3 (2021),  261–283
16. 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
17. Polynomial approximations in a convex domain in $\mathbb C^n$ with the exponential decaying inside
    
    Zap. Nauchn. Sem. POMI, 503 (2021),  154–171
18. Inner factors of analytic functions of variable smoothness in the closed disk
    
    Algebra i Analiz, 32:5 (2020),  145–181
19. Approximation by entire functions on a countable set of continuums
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020),  481–489
20. 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
21. Outer functions in classes of analytic functions of variable smoothness
    
    Zap. Nauchn. Sem. POMI, 480 (2019),  206–213
22. 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
23. A note about approximation by trigonometric polynomials
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  238–243
24. Interpolation in a Bernstein space by means of approximation
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  215–237
25. Smoothness of a holomorphic function and its modulus on the boundary of a polydisk
    
    Zap. Nauchn. Sem. POMI, 456 (2017),  172–176
26. Means of the power $-2$ of derivatives in the class $S$
    
    Algebra i Analiz, 28:6 (2016),  189–207
27. Smoothness of a holomorphic function in a ball and smoothness of its modulus on the sphere
    
    Zap. Nauchn. Sem. POMI, 447 (2016),  123–128
28. Smoothness of a conformal mapping on a subset of the boundary
    
    Algebra i Analiz, 27:5 (2015),  195–206
29. Sufficient condition for Hölder smoothness of a function
    
    Algebra i Analiz, 25:3 (2013),  200–206
30. A series of operators in $L^2(\mathbb C)$ proportional to unitary ones
    
    Zap. Nauchn. Sem. POMI, 416 (2013),  188–201
31. Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping
    
    Zap. Nauchn. Sem. POMI, 389 (2011),  252–256
32. Approximation by entire functions on subsets of a ray
    
    Zap. Nauchn. Sem. POMI, 337 (2006),  233–237
33. Uniform polynomial approximations on convex domains in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 333 (2006),  98–112
34. On the decay rate of $(p,A)$-lacunary series
    
    Zap. Nauchn. Sem. POMI, 327 (2005),  135–149
35. Remark about the maximum of the modulus of an analytic function on the boundary
    
    Zap. Nauchn. Sem. POMI, 315 (2004),  149–154
36. A converse approximation theorem on subsets of elliptic curves
    
    Zap. Nauchn. Sem. POMI, 314 (2004),  257–271
37. Zero-sets for $H^\infty$-functions on hyperplanes in $\mathbb B^n$
    
    Zap. Nauchn. Sem. POMI, 303 (2003),  272–278
38. Polynomial approximations on closed subsets of elliptic curves
    
    Zap. Nauchn. Sem. POMI, 302 (2003),  178–187
39. Inverse approximation theorem on an infinite union of segments
    
    Zap. Nauchn. Sem. POMI, 290 (2002),  168–176
40. Hölder classes in Lavrent'ev domians
    
    Zap. Nauchn. Sem. POMI, 282 (2001),  256–275
41. An example of a fast decaying $(p,A)$-lacunary function
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  350–363
42. Polynomial approximation in the $L^p$-metric on disjoint segments
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  175–200
43. On an extremal problem in the Wiener algebra
    
    Algebra i Analiz, 11:6 (1999),  122–138
44. A class of functions on a disjoint collection of segments
    
    Zap. Nauchn. Sem. POMI, 262 (1999),  172–184
45. Approximation of functions belonging to the Hölder class on a half-axis
    
    Zap. Nauchn. Sem. POMI, 262 (1999),  127–137
46. Interpolation in a neighborhood of a cusp point
    
    Algebra i Analiz, 10:4 (1998),  142–176
47. Approximation by polynomials on compacta with infinitely connected complement
    
    Algebra i Analiz, 10:1 (1998),  248–264
48. A variational formula for Bergman kernels
    
    Zap. Nauchn. Sem. POMI, 255 (1998),  221–243
49. Constructive descriptions of classes of functions with the help of polynomial approximations. II
    
    Zap. Nauchn. Sem. POMI, 254 (1998),  235–243
50. Constructive descriptions of classes of functions with the help of polynomial approximations. I
    
    Zap. Nauchn. Sem. POMI, 254 (1998),  207–234
51. Concerning an analog of the Stolz angle for the unit ball in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 247 (1997),  276–297
52. Inner functions in O. V. Besov's analytic classes
    
    Algebra i Analiz, 8:4 (1996),  193–221
53. Approximation on limit compacta of Kleinian groups
    
    Zap. Nauchn. Sem. POMI, 232 (1996),  199–212
54. Estimates of the Bergman kernel for some pseudoconvex domains
    
    Zap. Nauchn. Sem. POMI, 222 (1995),  222–245
55. Polynomial $D$-approximations that exponentially decrease strictly inside a continuum
    
    Algebra i Analiz, 6:6 (1994),  154–184
56. Approximation in the sense of V. K. Dzyadyk on compacta with an infinitely connected complement
    
    Dokl. Akad. Nauk, 335:6 (1994),  700–701
57. Outer functions from the analytic О. V. Besov classes
    
    Zap. Nauchn. Sem. POMI, 217 (1994),  172–217
58. A direct theorem for strictly convex domains in $\mathbb C^n$
    
    Zap. Nauchn. Sem. POMI, 206 (1993),  151–173
59. Approximation on the limit continuous of a degenerate Kleinian group
    
    Zap. Nauchn. Sem. POMI, 206 (1993),  137–150
60. One a type of automorphic forms
    
    Zap. Nauchn. Sem. POMI, 201 (1992),  177–189
61. Some consequences of the Lindelöf conjecture
    
    Zap. Nauchn. Sem. POMI, 201 (1992),  164–176
62. The Bergman kernel near the diagonal for domains close to ellipsoids
    
    Zap. Nauchn. Sem. LOMI, 190 (1991),  163–172
63. Fuchsian groups with carleson limit sets
    
    Funktsional. Anal. i Prilozhen., 24:4 (1990),  92–93
64. A constructive description of Hölder classes on unbounded continua in $\mathbf{C}$
    
    Dokl. Akad. Nauk SSSR, 299:6 (1988),  1332–1336
65. She quantitative version of the Kado theorem
    
    Zap. Nauchn. Sem. LOMI, 157 (1987),  103–112
66. The Jackson–Bernstein theorem in strictly pseudoconvex domains in $\mathbf{C}^n$
    
    Dokl. Akad. Nauk SSSR, 287:1 (1986),  66–69
67. A note on Puchsian groups
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  181–185
68. A note on a theorem of V. V. Andrievskii
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  177–180
69. Traces of functions from $H^{\infty}(\mathbb B^n)$ on certain sets of hyperplanes
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  183–191
70. A constructive description of Hölder classes on closed Jordan curves
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  72–99
71. The Jackson–Bernstein theorem and strictly convex domains in $\mathbf{C}^n$
    
    Dokl. Akad. Nauk SSSR, 276:5 (1984),  1079–1081
72. On a theorem of A. G. Vitushkin
    
    Zap. Nauchn. Sem. LOMI, 135 (1984),  178–181
73. Properties of the moduli of analytic functions that are smooth up to the boundary
    
    Dokl. Akad. Nauk SSSR, 269:6 (1983),  1320–1323
74. Division by an inner function does not change the class of smoothness
    
    Dokl. Akad. Nauk SSSR, 268:4 (1983),  821–823
75. The Hevanlinna factorization in some classes of analytical functions
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  205–207
76. Closed ideals of algebras of type $B_{p,q}^\alpha$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:6 (1982),  1316–1332
77. Some properties of weakly lacunary power series
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  249–250
78. Free interpolation in the spaces $ C^A_{r,\omega}$
    
    Mat. Sb. (N.S.), 117(159):3 (1982),  337–358
79. Zero sets for functions from $\Lambda_\omega$
    
    Zap. Nauchn. Sem. LOMI, 107 (1982),  178–188
80. Modulus of boundary values of analytic functions of class $\Lambda^n_\omega$
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  258–260
81. Sets of zeros of analytic functions from the space $B_{p,1}^{1/p}$ are carlesonian
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  253–257
82. Standard ideals of algebra $H_n^1$
    
    Funktsional. Anal. i Prilozhen., 13:1 (1979),  86–87
83. 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
84. A remark concerning a problem of S. M. Nikolskii
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  312–313
85. Approximative properties of a continuum
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  241–252
86. Ideals and factorization in algebras of analytic functions that are smooth up to the boundary
    
    Trudy Mat. Inst. Steklov., 130 (1978),  196–222
87. 5.11. On the traces of $H^\infty(\mathbb B^N)$ functions on the hyperplanes
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  264–265
88. Approximate entropy of continua
    
    Dokl. Akad. Nauk SSSR, 235:3 (1977),  546–549
89. Approximation of continuous analytic functions in domains with bounded boundary rotation
    
    Dokl. Akad. Nauk SSSR, 228:4 (1976),  809–812
90. Uniform approximation of analytic functions by polynomials in domains of bounded boundary rotation without zero angles
    
    Zap. Nauchn. Sem. LOMI, 65 (1976),  199–202
91. Some embedding theorem for spaces of harmonic functions
    
    Zap. Nauchn. Sem. LOMI, 56 (1976),  191–194
92. On a constructive characterization of analytic continuous functions in close-to-convex domains
    
    Dokl. Akad. Nauk SSSR, 221:4 (1975),  790–793
93. On weighted approximations on closed sets with corners
    
    Dokl. Akad. Nauk SSSR, 214:2 (1974),  295–297
94. On a generalization of Ahlfors' theorem
    
    Zap. Nauchn. Sem. LOMI, 44 (1974),  179–185
95. A rejmark to a theorem of V. P. Gurarii
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  196–197
96. Borne generalization of the Littlewood Paley theorem
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  162–175
97. Some properties of primary ideals of absolutely convergent Taylor series and Fourier integrals
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  149–161
98. 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
99. Обобщение теоремы Литтлвуда–Пэли
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  179–180
100. Zeros of analytic functions with a derivative in $H^1$
     
     Zap. Nauchn. Sem. LOMI, 30 (1972),  154–157
101. On Hayman's regularity theorem
     
     Zap. Nauchn. Sem. LOMI, 24 (1972),  182–200
102. On the factorization of analytic functions with the derivative in $H^p$
     
     Zap. Nauchn. Sem. LOMI, 22 (1971),  8–27


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