Professor of the Department of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

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Keywords: real analysis, generalized integrals, orthogonal series, harmonic analysis, theory of martingals, theory of vector lattices.

Education:

→ 1958 – Faculty of Mechanics and Mathematics, Lomonosov Moscow State University;

→ 1963 – Ph.D. Thesis "Properties of integrals which allow to determine the coefficients of everywhere convergent trigonometric series" (advisor Prof. D.E. Men'shov).

→ 1983 – Dr. Sci. Thesis "Uniqueness questions of Haar and Walsh series and generalized integrals".

Teaching:

V.A. Skvortsov is a lecturer of the courses "Real analysis", "Complex analysis", special courses "Generalized integrals in harmonic analysis", "Theory of trigonometric and orthogonal series", "Harmonic analysis on locally compact groups", "P-adic harmonic analysis", "Integration of functions with the values in vector lattices", "Variational measures in the theory of integral". He leads the special seminars on theory of functions and theory of orthogonal series. His students have defended 20 Ph.D. and 4 Dr. Sci. dissertations.

Publications (recent):

2024

→ T.P. Lukashenko, V.A. Skvortsov, A.P. Solodov, "Kolmogorov's ideas on the theory of integral in modern research", Moscow University Mathematics Bulletin, 79:1 (2024), 22–33, DOI.

2023

→ P. Musial, V. Skvortsov, F. Tulone, "Comparison of the \(P_r\)-integral with Burkill's integrals and some applications to trigonometric series", Journal of Mathematical Analysis and Applications, 2023, 1–14, DOI.

→ T.P. Lukashenko, V.A. Skvortsov, A.P. Solodov, "Generalized integrals", Lenand, Moscow, 2023, 320 pp.

2022

→ P. Musial, V.A. Skvortsov, F. Tulone, "On Descriptive Characterizations of an Integral Recovering a Function from Its \(L^r\)-Derivative", Mathematical Notes, 111:3-4 (2022), 414–422, DOI.

→ P. Musial, V.A. Skvortsov, F. Tulone, "The \(HK_r\)-integral is not contained in the \(P_r\)-integral", Proceedings of the American Mathematical Society. American Mathematical Society, 150:5 (2022), 2107–2114, DOI.

2021

→ V.A. Skvortsov, F. Tulone, "A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure", Georgian Mathematical Journal, 28:3 (2021), 471–476, DOI.

→ V.A. Skvortsov, "Reconstruction of a generalized Fourier series from its sum on a compact zero-dimensional group in the non-abelian case", Mathematical Notes, 109:4 (2021), 130–137, DOI.

2019

→ V.A. Skvortsov, P. Sworowski, "Comparison of some trigonometric integrals II", European Journal of Mathematics, 5:1 (2019), 194–205, DOI.

→ U.B. Darji, N. Tomasz, V.A. Skvortsov, "Editors’ foreword for the special issue “Real Analysis and Its Applications”", European Journal of Mathematics, 5:1 (2019), 1–1, DOI.

→ V. Skvortsov, "Recovering Banach-valued coefficients of series with respect to characters of zero-dimensional groups", Annales Univ. Sci. Budapest., Sect. Comp, 49 (2019), 379–397, PDF.

2018

→ P.A. Sworowski, V.A. Skvortsov, "Comparison of Some Trigonometric Integrals", Mathematical Notes, 104:2 (2018), 303–308, DOI.

2017

→ V.A. Skvortsov, "Integration of Banach-valued functions and Haar series with Banach-valued coefficients", Moscow University Mathematics Bulletin, 72:1 (2017), 24–30, DOI.

→ F. Tulone, V. Skvortsov, "Multidimensional P-adic Integrals in some Problems of Harmonic Analysis", Minimax Theory and its Applications, 2:1 (2017), 153–174, PDF.

→ F. Tulone, V. Skvortsov, "On the coefficients of multiple series with respect to Vilenkin system", Tatra Mt. Math. Publ, 68 (2017), 1–12, PDF.