Integral eguation, convolution eguation, geometrical theory of Frechet spaces, spectral operator theory and mathematical physics.
Main publications:
V. M. Kaplitsky, An integral eguation with matrix difference kernel on an interval, Sbornik: Mathematics 198:8 (1998), 1171–1777.
M. A. Kaplitsky, V. M. Kaplitsky, On resolution method for wave problems with some points of change of boundary conditions type. Non-stationary propagation of finite crack of the logitudial shear, Proc. of II Int. Conf. on Modern Problems in Continual Body Mechanics, Rostov-on-Don, 1966, v. 3 (Russian).
V. P. Kondakov, V. M. Kaplitsky, Bases in weighted spaces of entire functions, Linear Topological Spaces and Complex Analysis 3(1997) 85–90.
V. P. Kondakov, V. M. Kaplitsky, On existence of bases in some weighted functional spaces, Geometrical School- Seminar, Abrau-Durso, 1996 (Russian).
V. M. Kaplitsky, Structural guestions of multinormed weighted functional spaces, Diss., Rostov-on-Don, 1998 (Russian).
