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Баранов Антон Дмитриевич
Баранов Антон Дмитриевич
Заведующий лабораторией им. П. Л. Чебышева

a.baranov@spbu.ru


Образование

2011 — д.ф.-м.н. (по специальности «вещественный, комплексный и функциональный анализ»)
Место защиты: Петербургское отделение Математического института им. В.А. Стеклова РАН
Название диссертации: Модельные подпространства пространств Харди (неравенства Бернштейна, системы воспроизводящих ядер, теоремы типа Берлинга-Мальявена)

2005 — Ph.D. in Mathermtics
Место защиты: Université Bordeaux 1
Название диссертации: Linear Operators in Shift-Coinvariant Subspaces
Научные руководители: В.П. Хавин и Н.К. Никольский

2003 — к.ф.-м.н. (по специальности «вещественный, комплексный и функциональный анализ»)
Место защиты: Петербургское отделение Математического института им. В.А. Стеклова РАН
Название диссертации: Оценки операторов дифференцирования и вложения в пространствах де Бранжа и коинвариантных подпространствах оператора сдвига
Научный руководитель: В.П. Хавин

06.1999 — специалист (по специальности «математика»)
Место защиты: Санкт-Петербургский государственный университет


Научные интересы

  • комплексный и гармонический анализ
  • теория операторов

Дополнительная информация

anton.d.baranov@gmail.com


Публикации

33 Evgeny Abakumov, Anton Baranov , Stéphane Charpentier, Andrei Lishanskii, New classes of hypercyclic Toeplitz operators, принята к публикации в Bulletin des sciences mathématiques; preprint (2020).
32 A. Baranov, R. Zarouf, H^\infty interpolation and embedding theorems for rational functions, Integral Equations Operator Theory 91 (2019), no. 3, Art. 18, 19 pp.; preprint (2019).
31 A. Baranov, R. Zarouf, The differentiation operator from model spaces to Bergman spaces and Peller type inequalities, J. Anal. Math. 137 (2019), no. 1, 189–209.
30 A. Baranov, H. Woracek, Stability of order and type under perturbation of the spectral measure, Rev. Mat. Iberoam. 35 (2019), no. 4, 963–1026.
29 Evgeny Abakumov, Anton Baranov, Yurii Belov, Krein-type theorems and ordered structure for Cauchy-de Branges spaces, J. Funct. Anal. 277 (2019), no. 1, 200–226; preprint.
28 Anton Baranov, Yurii Belov, Synthesizable differentiation-invariant subspaces, Geom. Funct. Anal. 29 (2019), no. 1, 44–71.
27 Anton Baranov, Vladimir Kapustin, Andrei Lishanskii, On hypercyclic rank one perturbations of unitary operators, Mathematische Nachrichten, 292:5 (2019), 961-968; preprint.
26 Anton Baranov, Spectral theory of rank one perturbations of normal compact operators, Алгебра и Анализ, 30:5 (2018), 1-56; preprint.
25 Anton Baranov, Yurii Belov, Alexander Ulanovskii, Gap problem for separated sequences and Beurling-Malliavin theorem, Journal of Fourier Analysis and Applications, 23:4 (2017), 877-885; preprint.
24 Anton Baranov, Yurii Belov, Alexei Poltoratski, De Branges functions of Shroedinger equations, Collectanea Mathematica, 68:2 (2017), 251-263; preprint.
23 Anton Baranov, Yurii Belov, Alexander Borichev, Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces, Studia Mathematica 236 (2017), 127-142; preprint.
22 Anton Baranov, Andreas Hartmann, Karim Kellay, Geometry of reproducing kernels in model spaces near the boundary, Journal of Mathematical Analysis and Applications, 447:2 (2017), 971-987; preprint.
21 Anton Baranov, Konstantin Fedorovskiy, On $L^1$-estimates of derivatives of univalent rational functions, Journal d’Analyse Mathematique, 132:1 (2017), 63-80; preprint.
20 Anton Baranov, Yurii Belov, Spectral synthesis in Hilbert spaces of entire functions, to appear in Proceedings of 7 European Congress of Mathematics (Berlin, July 18-22)..
19 Anton Baranov, Yurii Belov, Synthesable invariant subspaces; preprint (2016).
18 Anton Baranov, Andrei Lishanskii, Hypercyclic Toeplitz operators, Results in Mathematics, 70:3 (2016), 337-347; preprint.
17 Anton Baranov, Dmitry V.Yakubovich, Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators, Advances in Mathematics, 302 (2016), 740-798; preprint.
16 Baranov A.D., Carmona J.J., Fedorovskiy K.Yu., Density of certain polynomial modules, Journal of Approximation Theory, 206 (2016), 1-16.
15 Anton Baranov, Yurii Belov, Alexander Borichev, Spectral synthesis in de Branges spaces, Geometric and Functional Analysis, 25:2 (2015), 417-452; preprint.
14 Alexandru Aleman, Anton Baranov, Yurii Belov, Subspaces of $C^\infty$ invariant under the differentiation, Journal of Functional Analysis, 268:2 (2015), 2421-2439; preprint.
13 Evgeny Abakumov, Anton Baranov, Yurii Belov, Localization of zeros for Cauchy transforms, International Mathematics Research Notices, 15 (2015), 6699-6733; preprint.
12 Anton Baranov, Dmitry V. Yakubovich, One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum, Journal of Mathematical Analysis and Applications, 424:2 (2015), 1404-1424; preprint.
11 Anton Baranov, Andre Dumont, Andreas Hartmann, Karim Kellay, Sampling, interpolation and Riesz bases in small Fock spaces, Journal de Mathematiques Pures et Appliquees, 103:6 (2015), 1358-1389; preprint.
10 Anton Baranov, Andrei Lishanskii, On S. Grivaux’ example of a hypercyclic rank one perturbation of a unitary operator, Archiv der Mathematik,104:3 (2015), 223-235; preprint.
9 Anton Baranov, Rachid Zarouf, A model space approach to some classical inequalities for rational functions, Journal of Mathematical Analysis and Applications, 418:1 (2014), 121-141; preprint.
8 Anton Baranov , Yurii Belov, Alexander Borichev, Hereditary completeness for systems of exponentials and reproducing kernels, Advances in Mathematics, 235 (2013), 525-554; preprint.
7 Anton Baranov, Harald Woracek, De Branges’ theorem on approximation problems of Bernstein type, Journal of the Institute of Mathematics of Jussieu, 12:4 (2013), 879-899; preprint.
6 Anton Baranov, Yurii Belov, Alexander Borichev, Dmitry Yakubovich, Recent developments in spectral synthesis for exponential systems and for non-self-adjoint operators, Recent Trends in Analysis, Proceedings of the conference in honor of Nikolai Nikolski, Theta Foundation, Bucharest, 2013; preprint.
5 Anton Baranov, Rachid Zarouf, A Bernstein-type inequality for rational functions in weighted Bergman spaces, Bulletin des Sciences Mathématiques, 137:4 (2013), 541-556; preprint.
4 Anton Baranov, Yurii Belov, Alexander Borichev, A restricted shift completeness problem, Journal of Functional Analysis, 263:7 (2012), 1887-1893; preprint.
3 Anton Baranov, Yurii Belov, Systems of reproducing kernels and their biorthogonal: completeness or incompleteness?, International Mathematics Research Notices, 2011:22 (2011), 5076–5108; preprint.
2 Баранов А.Д., Федоровский К.Ю., Регулярность границ неванлинновских областей и однолистные функции в модельных пространствах, Математический сборник, 202:12 (2011), 3-22.
1 Baranov A.D., Bessonov R.V., Kapustin V.V., Symbols of truncated Toeplitz operators, Journal of Functional Analysis, 261:12 (2011), 3437-3456; preprint.