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Anton D. Baranov
Anton D. Baranov
Head of Laboratory

a.baranov@spbu.ru


Education

2011 — D.Sc. in Mathematics and Physics («Real, Complex and Functional Analysis»)
Institution: St. Petersburg Department of Steklov Mathematical Institute

2005 — Ph.D. in Mathermtics
Institution: Université Bordeaux 1
Thesis title: Linear Operators in Shift-Coinvariant Subspaces
Advisors: V.P. Khavin and N.K. Nikolski

2003 — Ph.D. (C.Sc.) in Mathematics and Physics («Real, Complex and Functional Analysis»)
Institution: St. Petersburg Department of Steklov Mathematical Institute
Advisor: V.P. Khavin

06.1999 — Specialist Degree in Mathematics
Institution: St. Petersburg State University


Scientific interests

  • complex and harmonic analysis
  • operator theory

Additional Information

anton.d.baranov@gmail.com


Publications

23 Evgeny Abakumov, Anton Baranov, Yurii Belov, Krein-type theorems and ordered structure for Cauchy-de Branges spaces, to appear in Journal of Functional Analysis (2018); preprint.
22 Anton Baranov, Yurii Belov, Synthesizable differentiation-invariant subspaces, to appear in Geometric and Functional Analysis (2018).
21 Anton Baranov, Vladimir Kapustin, Andrei Lishanskii, On hypercyclic rank one perturbations of unitary operators, to appear in Mathematische Nachrichten; preprint.
20 Anton Baranov, Yurii Belov, Alexei Poltoratski, De Branges functions of Shroedinger equations, Collectanea Mathematica, 68:2 (2017), 251-263; preprint (2015).
19 Anton Baranov, Konstantin Fedorovskiy, On $L^1$-estimates of derivatives of univalent rational functions, Journal d’Analyse Mathematique, 132:1 (2017), 63-80; preprint (2013).
18 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 (2012).
17 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)..
16 Anton Baranov, Andrei Lishanskii, Hypercyclic Toeplitz operators, Results in Mathematics, 70:3 (2016), 337-347; preprint (2015).
15 Evgeny Abakumov, Anton Baranov, Yurii Belov, Localization of zeros for Cauchy transforms, International Mathematics Research Notices, 15 (2015), 6699-6733; preprint (2013).
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 (2013).
13 Anton Baranov, Yurii Belov, Alexander Borichev, Spectral synthesis in de Branges spaces, Geometric and Functional Analysis, 25:2 (2015), 417-452; preprint (2013).
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 (2014).
11 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 (2013).
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 (2014).
9 Baranov A.D., Carmona J.J., Fedorovskiy K.Yu., Density of certain polynomial modules, Journal of Approximation Theory, 206 (2016), 1-16.
8 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 (2013).
7 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 (2012).
6 Anton Baranov , Yurii Belov, Alexander Borichev, Hereditary completeness for systems of exponentials and reproducing kernels, Advances in Mathematics, 235 (2013), 525-554; preprint (2011).
5 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 (2012).
4 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 (2010).
3 Anton Baranov, Yurii Belov, Alexander Borichev, A restricted shift completeness problem, Journal of Functional Analysis, 263:7 (2012), 1887-1893; preprint (2012).
2 Anton Baranov, Yurii Belov, Systems of reproducing kernels and their biorthogonal: completeness or incompleteness?, International Mathematics Research Notices, 2011:22 (2011), 5076–5108; preprint (2010).
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 (2010).