Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 13.10.1990
E-mail:
Keywords: perturbation, asymptotics, spectrum, non-self-adjoint operator, spectral gaps, eigenvalue, spectral decompositions, basis, fourth-order differential operator, existence theorem, alpha-models in hydrodynamics
UDC: 517.9, 517.927

Subject:

Spectral analysis of differential operators, Harmonic analysis of semigroups, hydrodynamics.

Main publications:

1. A. G. Baskakov, D. M. Polyakov, “The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential”, Sb. Math., 208:1 (2017), 1–43                  
2. D. M. Polyakov, “Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions”, St. Petersburg Mathematical Journal, 27:5 (2016), 789–811                  

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
• Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center
• Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
• Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences