Function theory department

Description

Head of Department: Professor, D.Sc. in Physics and Mathematics – Veniamin G. Krotov

Department Staff: 4 Professors, 8 Associate Professors, 6 Senior Lecturers, 4 Assistants

Scientific directions

  • boundary-value problems of analytic function theory;
  • function spaces;
  • approximation theory;
  • harmonic analysis;
  • integral operators and equations;
  • fractional calculus and its applications;
  • fractional differential equations of one and several variables and its applications;
  • methodic of Mathematical Analysis and Complex Function Theory teaching.

Specializations

  • Mathematical Analysis;
  • Complex Function Theory;
  • Integral Equations.

Basic Courses

  • boundary-value problems of analytic functions theory;
  • Sobolev spaces;
  • Hardy spaces;
  • basics of approximation theory;
  • integral operators;
  • interpolation of linear operators;
  • singular integral operators;
  • integral equations and its applications in mechanics;
  • fractional calculus and its applications;
  • partial differential equations of fractional order;
  • rational approximation;
  • singular integral equations;
  • special function;
  • orthogonal series;
  • Fourier transform and wavelets theory;
  • methodic of Mathematical Analysis teaching;
  • methodic of Complex Function Theory teaching.