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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

26 Baranov A.D., Belov Yu. S., Irregular sampling for hyperbolic secant type functions, Advances in Mathematics (2024), Volume 458, Part B, article 109981.
25 Baranov A.D., Jaming P., Kellay K., Speckbacher M., Oversampling and Donoho–Logan type theorems in model spaces.
24 Baranov A.D., Shemyakov V.V., Zeros of meromorphic functions of the form $sum_n c_n(z-t_n)^(-2)$, Journal of Mathematical Analysis and Applications (2024), vol. 538, no. 2, article 128406.
23 Anton Baranov, Vladimir Kapustin, Andrei Lishanskii, On hypercyclic rank one perturbations of unitary operators, to appear in Mathematische Nachrichten; preprint.
22 Anton Baranov, Yurii Belov, Synthesizable differentiation-invariant subspaces, to appear in Geometric and Functional Analysis (2018).
21 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.
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, Andrei Lishanskii, Hypercyclic Toeplitz operators, Results in Mathematics, 70:3 (2016), 337-347; preprint (2015).
16 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)..
15 Baranov A.D., Carmona J.J., Fedorovskiy K.Yu., Density of certain polynomial modules, Journal of Approximation Theory, 206 (2016), 1-16.
14 Evgeny Abakumov, Anton Baranov, Yurii Belov, Localization of zeros for Cauchy transforms, International Mathematics Research Notices, 15 (2015), 6699-6733; preprint (2013).
13 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).
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 (2013).
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 (2014).
10 Anton Baranov, Yurii Belov, Alexander Borichev, Spectral synthesis in de Branges spaces, Geometric and Functional Analysis, 25:2 (2015), 417-452; preprint (2013).
9 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).
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, Rachid Zarouf, A Bernstein-type inequality for rational functions in weighted Bergman spaces, Bulletin des Sciences Mathématiques, 137:4 (2013), 541-556; preprint (2010).
6 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).
5 Anton Baranov , Yurii Belov, Alexander Borichev, Hereditary completeness for systems of exponentials and reproducing kernels, Advances in Mathematics, 235 (2013), 525-554; preprint (2011).
4 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).
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).