Kaplitskiy Vitaliy Markovich

Institute of Mathematics, Mechanics, and Computer Science named after of I.I. Vorovich - Associate Professor

E-mail:

View email

Personal page:

https://sfedu.ru/s7/person/ru/vmkaplickiy

Personal page in english:

https://sfedu.ru/s7/person/en/vmkaplickiy

Research interests:

Functional analysis, spectral theory of Schrodinger operators, mathematical problems of statistical mechanics, mathematical physics.

Key publications:

1. Kaplitskii V.M. A method for estimating eigenfunctions of integral operators of certain classes in unbounded domains // Izv. Math., 2011, 75(5), 933-958.

2. Kaplitskii V.M. Criteria of exponential decay for eigenfunctions of some classes of integral operators // Journal of Mathematical Sciences, 2010, 165:4, 455-462.

3. Kaplitskii V.M. Asymptotics of the distribution of eigenvalues of a selfadjont second order hyperbolic differential operator on two-dimensional torus // Sib. Math. J., 2011,51:5,830-846.

4. Kaplitskii V.M. A differential equation for Lerchs transcendent and associated symmetric operators in Hilbert space // Sb.Math, 2014, 205(8),1080-1106.

5. Kaplitskii V.M. Interpolation of nonlinear operators in weighted Lp-spaces // Sib.Math.J., 2010,51:2, 255-266.