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Sergej Nikolaevich Melikhov 

Professor

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

Member

Dissertation Council 212.208.29

E-mail:
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Degree: Doctor of Sciences

Personal page in Russian:
https://sfedu.ru/person/snmelihov
Personal page in English:
https://sfedu.ru/en/person/snmelihov

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:

  • Functional analysis
    Theory of topological vector spaces and linear operators
  • Algebra
    Theory of matrices and determinants, polynomials theory, linear algebra, general algebra
  • Mathematical basics of information security
    Basics of the numbers theory, algebraic structures (groups, rings, fields), applications to coding theory and cryptography
  • Cauchy-Riemann Equation
    Applications of Cauchy-Riemann equation to Runge, Mittag-Leffler, Weierstrass, interpolation theorems; Cauchy-Riemann operator in distribution spaces