Real, Complex and Functional Analysis
In Russian
Level of education Doctoral
Type of instruction Full-time
Duration 4 years
Programme description
The programme is aimed at comprehensive training of academic staff with top qualifications in the field of real, complex and functional analysis, operator theory, and potential and distribution theory.
The programme focuses on carrying out research and development of scientific methods in the problems of:
- real analysis, local and global properties of functions of real variables, their representation and approximation
- metric theory of functions
- theory of function spaces
- approximation theory of functions; complex analysis, analytic functions of one and many complex variables
- geometrical theory of functions of one and many complex variables, conformal maps and their generalisations
- boundary value problems for analytic functions, applications of potential theory in complex analysis and complex potential theory
- functional analysis, mapping of infinite dimensional spaces
- theory of vector spaces, geometry of normalised spaces, integral representations and transformations
- operator theory, including the theory of differential operators; and
- perturbation theory for operators