harmonic analysis; theory of orthogonal series; theory of generalized integrals; martingale theory
Main publications:
M. G. Plotnikov, “O mnozhestvakh edinstvennosti dlya kratnykh ryadov Uolsha”, Matem. zametki, 81:2 (2007), 265–279
M. G. Plotnikov, “Kvazimery, khausdorfovy $p$-mery i ryady Uolsha i Khaara”, Izv. RAN. Ser. matem., 74:4 (2010), 157–188
M. G. Plotnikov, “Kvazimery na gruppe $G^m$, mnozhestva Dirikhle i problemy edinstvennosti dlya kratnykh ryadov Uolsha”, Matem. sb., 201:12 (2010), 131–156
M.G. Plotnikov, “Q-measures on the dyadic group and uniqueness sets for Haar series”, Methods of Fourier Analysis and Approximation Theory, Michael Ruzhansky, Sergey Tikhonov (eds.), Applied and Numerical Harmonic Analysis, Springer International Publ. Switzerland, 2016, 71–83
M. Plotnikov, “V-sets in the products of zero-dimensional compact abelian groups”, European J. Math., 5:1 (2019), 223–240
