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Баранов Антон Дмитриевич
Баранов Антон Дмитриевич
Профессор

anton.d.baranov@gmail.com


Образование

2011 д.ф.-м.н., специальность «вещественный, комплексный и функциональный анализ» (01.01.01)
Место защиты: ПОМИ 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: Хавин Виктор Петрович и Никольский Николай Капитонович

2003 к.ф.-м.н., специальность «вещественный, комплексный и функциональный анализ» (01.01.01)
Место защиты: ПОМИ РАН
Название диссертации: Оценки операторов дифференцирования и вложения в пространствах де Бранжа и коинвариантных подпространствах оператора сдвига
Научный руководитель: Хавин Виктор Петрович

06.1999 специалист, специальность «математика»
мат.-мех. факультет СПбГУ, кафедра математического анализа


Научные интересы

  • комплексный и гармонический анализ
  • теория операторов

Публикации

26 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.
25 Anton Baranov, Yurii Belov, Alexei Poltoratski, De Branges functions of Shroedinger equations, Collectanea Mathematica, 68:2 (2017), 251-263; preprint.
24 Anton Baranov, Konstantin Fedorovskiy, On $L^1$-estimates of derivatives of univalent rational functions, Journal d’Analyse Mathematique, 132:1 (2017), 63-80; preprint.
23 Anton Baranov, Vladimir Kapustin, Andrei Lishanskii, On hypercyclic rank one perturbations of unitary operators; preprint (2017).
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.
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, Andrei Lishanskii, Hypercyclic Toeplitz operators, Results in Mathematics, 70:3 (2016), 337-347; preprint.
17 Anton Baranov, Yurii Belov, Synthesable invariant subspaces; preprint (2016).
16 Anton Baranov, Yurii Belov, Alexander Borichev, Spectral synthesis in de Branges spaces, Geometric and Functional Analysis, 25:2 (2015), 417-452; preprint.
15 Alexandru Aleman, Anton Baranov, Yurii Belov, Subspaces of $C^\infty$ invariant under the differentiation, Journal of Functional Analysis, 268:2 (2015), 2421-2439; preprint.
14 Evgeny Abakumov, Anton Baranov, Yurii Belov, Localization of zeros for Cauchy transforms, International Mathematics Research Notices, 15 (2015), 6699-6733; preprint.
13 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.
12 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 Baranov A.D., Carmona J.J., Fedorovskiy K.Yu., Density of certain polynomial modules, Journal of Approximation Theory, 206 (2016), 1-16.
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, 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.
7 Anton Baranov , Yurii Belov, Alexander Borichev, Hereditary completeness for systems of exponentials and reproducing kernels, Advances in Mathematics, 235 (2013), 525-554; preprint.
6 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.
5 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.
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, Roman Bessonov, Vladimir Kapustin, Symbols of truncated Toeplitz operators, Journal of Functional Analysis, 261:12 (2011), 3437-3456; preprint.
1 Anton Baranov, Yurii Belov, Systems of reproducing kernels and their biorthogonal: completeness or incompleteness?, International Mathematics Research Notices, 2011:22 (2011), 5076–5108; preprint.