Sergej Nikolaevich Melikhov
Professor
Institute of Mathematics, Mechanics, and Computer Science named after of I.I. Vorovich
Research interests:
Complex and functional analysis (operator theory, convolution operators, Pommiez and backwards shift operators, dynamics of linear operators, representing systems, exponential series, projective descriptions, functional spaces)
Teaching:
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Functional analysis
Theory of topological vector spaces and linear operators
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Algebra
Theory of matrices and determinants, polynomials theory, linear algebra, general algebra
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Mathematical basics of information security
Basics of the numbers theory, algebraic structures (groups, rings, fields),
applications to coding theory and cryptography
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Cauchy-Riemann Equation
Applications of Cauchy-Riemann equation to Runge, Mittag-Leffler, Weierstrass, interpolation theorems; Cauchy-Riemann operator in distribution spaces