INSTITUTE OF MATHEMATICS


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  • Complex Analysis
    Convolution operators on spaces of analytical functions
    (asymptotic methods of mathematical statistics, quantization theory, approximation theory, cubature formulas, mathematical analysis and other)

  • Computational Mathematics
    Theretcal justification of algorithm and procedures for solution of hydrodynamical problems and cubature formulas for supercomputers
    (the theory of an approximate evaluation of many-dimensional integrals, cubature formulas, Navie-Stoks equations, the theory of functions of many real variable and other)

  • Differential Equations
    Asymptotic behaviours of solutions for resonant perturbed differential equations
    (the asymptotic methods for studying the solutions of partial and ordinary differential equations, differential equations with a small parameter, singular perturbations of boundary-value, initial problems and other)

  • Function Theory
    Analytical functions and their application in functional equations
    (spectral syntezis of analitical functions, complex analysis, harmonic analysis, analitical extentions of functions from invariant subspaces, representation of funtions by exponential series and other)

  • Mathematical Physics
    Integrable equations and spectral theory
    (higher symmetries theory, construction of asymptotic solutions of soliton equations, discrete integrable models, orthogonal polynomials, classification of integrable equations and other)

  • Probability Theory
    Optimal estimates of regressions

Researsch teams in Institute are supported by Russian Foundation for Basic Research