Function Theory

Head of Department: Professor, D.Sc. in Pedagogics, Ph.D. in Physics and Mathematics – Natalia V. Brovka

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

Scientific directions:

• boundary-value problems of the analytic function theory and their applications;
• function spaces;
• approximation theory;
• harmonic analysis;
• integral operators and equations;
• mathematical analysis applications;
• methods of teaching mathematical analysis and the theory of functions of a complex variable

Specializations:

• Mathematical Analysis;
• Theory of functions of a complex variable;
• 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;
• applications of mathematical analysis
• orthogonal series theory;
• Fourier transform and wavelets theory;
• Methods of teaching mathematical analysis;
• Methods of teaching the theory of functions of a complex variable.