Persons: Belyaev, Alexei Alexandrovich

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Belyaev, Alexei Alexandrovich

Candidate of physico-mathematical sciences (2016)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

Keywords:

multipliers; Bessel potential spaces; Lizorkin-Triebel spaces; embedding theorems; perturbation theory; spectral theory of elliptic operators

MSC:

Subject:

multipliers theory; Sobolev-type function spaces; perturbation theory for singular operators; spectral theory

Main publications:

A.A. Belyaev, “Characterization of spaces of multipliers for Bessel potential spaces”, Mathematical Notes, 96:5 (2014), 634–646

	Publications in Math-Net.Ru	Citations
	2021
1.	T. A. Lavrinenko, A. A. Belyaev, “From the algebraic methods of Diophantus–Fermats–Euler to the arithmetic of algebraic curves: about the history of diophantine equations after Euler”, Chebyshevskii Sb., 22:3 (2021), 383–404
	2018
2.	A. A. Belyaev, A. A. Shkalikov, “Multipliers in Bessel potential spaces: the case of smoothness indices of different sign”, Algebra i Analiz, 30:2 (2018), 76–96 ; St. Petersburg Math. J., 30:2 (2019), 203–218	3
	2017
3.	A. A. Belyaev, A. A. Shkalikov, “Multipliers in Spaces of Bessel Potentials: The Case of Indices of Nonnegative Smoothness”, Mat. Zametki, 102:5 (2017), 684–699 ; Math. Notes, 102:5 (2017), 632–644	8
	2013
4.	A. Ф. Belyaev, “Sungular Perturbations of Powers of the Laplacian on the Torus”, Mat. Zametki, 94:4 (2013), 632–636 ; Math. Notes, 94:4 (2013), 594–598	2
	1982
5.	A. A. Belyaev, “The mean value theorem for harmonic functions in a domain of Hilbert space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5, 32–35	1

Presentations in Math-Net.Ru

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