Professor of the Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

E-mail:

Keywords: Walsh and Vilenkin–Chrestenson series, zero-dimensional compact groups, sets of uniqueness, function recovery, Fourier series, p-adic measures, martingales.

Education:

→ 1990-1995 – Faculty of Mechanics and Mathematics, Lomonosov Moscow State University;

→ 1995-1999 – graduate school of the Department of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, advisor Prof. V.A. Skvortsov;

→ 2001 – PhD Thesis "Generalized integrals and uniqueness questions for two-dimensional Haar and Walsh series" (Faculty of Mechanics and Mathematics, Lomonosov Moscow State University);

→ 2011 – Dr. Sci. Thesis "Quasi-measures, generalized integrals and Hausdorff measures in the theory of Haar and Walsh series" (Faculty of Mechanics and Mathematics, Lomonosov Moscow State University).

Publications (recent):

2022

→ M. G. Plotnikov, "Uniqueness sets of positive measure for rearrangements of the trigonometric system", Izv. RAN. Ser. Mat., 86:6 (2022), 161–186, DOI.

→ M. G. Plotnikov, V. S. Astashonok, "Recovery of Functions on \(p\)-Adic Groups", Math. Notes, 112:6 (2022), 955–964, DOI.

2021

→ M. G. Plotnikov, "Recovery of integrable functions and trigonometric series", Sb. Math., 212:6 (2021), 843–858, DOI.

2020

→ M. Plotnikov, "On the Vilenkin–Chrestenson systems and their rearrangements", Journal of Mathematical Analysis and Applications, 492:1 (2020), 124391, DOI.

→ M. Plotnikov, "V-sets in the products of zero-dimensional compact abelian groups", European Journal of Mathematics 5:1 (2019), 223–240, DOI.

2017

→ M. G. Plotnikov, "\(\lambda\)-Convergence of Multiple Walsh–Paley Series and Sets of Uniqueness", Math. Notes, 102:2 (2017), 268–276, DOI.