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Platonov Sergei Sergeevich

Publications in Math-Net.Ru

  1. On the Fourier–Walsh Transform of Functions from Dyadic Dini–Lipschitz Classes on the Semiaxis

    Mat. Zametki, 108:2 (2020),  236–251
  2. Spectral synthesis on zero-dimensional locally compact abelian groups

    Russian Universities Reports. Mathematics, 24:128 (2019),  450–456
  3. Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces

    Izv. RAN. Ser. Mat., 82:1 (2018),  198–224
  4. An Analog of Titchmarsh's Theorem for the Fourier–Walsh Transform

    Mat. Zametki, 103:1 (2018),  101–110
  5. On spectral synthesis in the space of tempered functions on finitely generated Abelian groups

    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 5(36),  42–59
  6. On spectral synthesis on element-wise compact Abelian groups

    Mat. Sb., 206:8 (2015),  127–152
  7. Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems

    Algebra i Analiz, 26:6 (2014),  99–120
  8. Fourier–Jacobi harmonic analysis and approximation of functions

    Izv. RAN. Ser. Mat., 78:1 (2014),  117–166
  9. On spectral synthesis on zero-dimensional Abelian groups

    Mat. Sb., 204:9 (2013),  99–114
  10. Spectral synthesis in a space of exponential growth functions on finitely generated abelian groups

    Algebra i Analiz, 24:4 (2012),  182–200
  11. About a structure of exponential monomials on some locally compact abelian groups

    Probl. Anal. Issues Anal., 1(19):1 (2012),  3–14
  12. Invariant subspaces in some function spaces on the light cone in $\mathbb R^3$

    Mat. Sb., 203:6 (2012),  101–130
  13. Инвариантные подпространства в функциональных пространствах медленного роста на световом конусе в $R^{3}$

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2011, no. 18,  21–60
  14. Spectral synthesis in some topological vector spaces of functions

    Algebra i Analiz, 22:5 (2010),  154–185
  15. О продолжении операторов обобщенного сдвига Данкля

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2009, no. 16,  60–77
  16. Some problems in the theory of approximation of functions on compact homogeneous manifolds

    Mat. Sb., 200:6 (2009),  67–108
  17. Bessel generalized translations and some problems of approximation theory for functions on the half-line

    Sibirsk. Mat. Zh., 50:1 (2009),  154–174
  18. Equivalence of $K$-functionals and moduli of smoothness constructed by generalized Dunkl translations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 8,  3–15
  19. Analog of the Whittaker–Kotelnikov–Shannon Theorem from the Point of View of Fourier–Bessel Analysis

    Mat. Zametki, 83:2 (2008),  264–272
  20. Bessel harmonic analysis and approximation of functions on the half-line

    Izv. RAN. Ser. Mat., 71:5 (2007),  149–196
  21. Обобщенные сдвиги Бесселя и некоторые обратные теоремы теории приближения функций на полупрямой

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2007, no. 14,  44–57
  22. The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces

    Sibirsk. Mat. Zh., 46:6 (2005),  1374–1387
  23. Разложение по собственным функциям для некоторых функционально-дифференциальных операторов

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2004, no. 11,  14–34
  24. Преобразование Фурье функций удовлетворяющих условию Липшица, на плоскости Лобачевского

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2003, no. 10,  31–40
  25. Invariant subspaces in some function spaces on symmetric spaces. III

    Izv. RAN. Ser. Mat., 66:1 (2002),  167–202
  26. On a determination of entire functions of exponential type on homogeneous manifolds

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2,  60–68
  27. Обобщенные сдвиги Бесселя и некоторые задачи теории приближений функций в метрике $L_{2}$. II

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2001, no. 8,  20–36
  28. Jackson-type theorems for compact symmetric spaces of rank 1

    Sibirsk. Mat. Zh., 42:1 (2001),  136–148
  29. About some approach to the theory of Nikolski\v{i}–Besov spaces on homogeneous manifolds

    Fundam. Prikl. Mat., 6:1 (2000),  207–223
  30. On Equivalent Normings in the Spaces $H_p^r$ on Compact Homogeneous Spaces

    Mat. Zametki, 68:6 (2000),  898–909
  31. Обобщенные сдвиги Бесселя и некоторые задачи теории приближений функций в метрике $L_{2}$. I

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2000, no. 7,  70–83
  32. Approximation of functions in the $L_2$-metric on noncompact symmetric spaces of rank 1

    Algebra i Analiz, 11:1 (1999),  244–270
  33. Сходимость и секвенциальная сходимость в некоторых функциональных топологических векторных пространствах

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1999, no. 6,  68–91
  34. Invariant subspaces in some function spaces on symmetric spaces. II

    Izv. RAN. Ser. Mat., 62:2 (1998),  131–168
  35. Об одной теореме Пэли—Винера—Ахиезера

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1998, no. 5,  131–139
  36. Nikol'skii–Besov classes on compact symmetric spaces of rank $1$

    Dokl. Akad. Nauk, 353:6 (1997),  723–725
  37. On Jackson-type theorems on a compact symmetric space of rank $1$

    Dokl. Akad. Nauk, 353:4 (1997),  445–448
  38. Invariant subspaces in functional spaces of polynomial growth on $\mathbb{R}^{N}$

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1997, no. 4,  105–124
  39. Approximations on compact symmetric spaces of rank 1

    Mat. Sb., 188:5 (1997),  113–130
  40. О классах Никольского — Бесова на компактных симметрических пространствах ранга 1

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1996, no. 3,  118–137
  41. О спектральном синтезе в одном топологическом векторном пространстве целых функций

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1996, no. 3,  97–117
  42. On approximation on compact symmetric spaces of rank $1$

    Dokl. Akad. Nauk, 342:4 (1995),  455–457
  43. Invariant subspaces of some function spaces on symmetric spaces. I

    Izv. RAN. Ser. Mat., 59:5 (1995),  127–172
  44. Инвариантные подпространства в некоторых функциональных пространствах на евклидовом пространстве

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1995, no. 2,  92–112
  45. Подпространства, инвариантные относительно обобщенных сдвигов Якоби

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1995, no. 2,  71–91
  46. О взаимно однозначном соответствии между инвариантными подпространствами в некоторых пространствах

    Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1993, no. 1,  54–60
  47. Spectral synthesis on symmetric spaces of rank 1

    Algebra i Analiz, 4:4 (1992),  174–187
  48. Invariant subspaces in some function spaces on symmetric spaces of rank $1$. Symplectic and special cases

    Dokl. Akad. Nauk, 322:2 (1992),  243–247
  49. Subspaces that are invariant with respect to generalized translations

    Mat. Zametki, 47:6 (1990),  91–101
  50. Invariant subspaces in some function spaces on the group of motions in the Euclidean plane

    Sibirsk. Mat. Zh., 31:3 (1990),  135–146
  51. Invariant subspaces in some function spaces on symmetric spaces of rank $1$

    Dokl. Akad. Nauk SSSR, 303:4 (1988),  797–799
  52. Invariant subspaces in certain function spaces on $n$-dimensional Lobachevsky space

    Mat. Sb. (N.S.), 137(179):4(12) (1988),  435–461
  53. An axiomatic description of the algebra $H^\infty(D)$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 9,  71–74
  54. Subspaces of entire functions invariant with respect to differentiation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 4,  49–56
  55. Subspaces invariant under generalized shifts

    Mat. Zametki, 39:4 (1986),  576–585
  56. Invariant subspaces in certain function spaces on an elementary solvable Lie group

    Mat. Zametki, 35:1 (1984),  19–30

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