Vitalii Markovich Kaplitskii 

Associate Professor

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

E-mail:

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Personal page in Russian:

https://sfedu.ru/person/vmkaplickiy

Personal page in English:

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

Teaching:

• Probability Theory
• Mathematical Analysis
• Spectral Theory of Operators ( additional chapters)