Departments of Mathematical and Functional Analysis launched in 2007.

Currently, the Department of Mathematical and Functional Analysis is headed by the candidate of physical and mathematical sciences, associate professor *Zagorodnyuk A*. It consists of Doctors of Physics and Mathematics *Dmytryshyn R.*, *Sharin* S., *Vasylyshyn T.*, *Osypchuk M.*, candidates of physical and mathematical sciences, associate professors *Malytska H., Solomko* A., *Kravtsiv V., * *Martsinkiv M., Ivasyuk I., Slobodian S.*

The staff of the department researches the following branches of science:

- analytic mappings of Banach spaces, algebras of analytic functions on Banach spaces;
- random processes (diffusive, stable), potential theory for pseudo-differential equations, applied statistical analysis;
- analytical theory of continuous and branched chain fractions and their application;
- functional calculus in the classes of polynomial distributions and analytical functions;
- systems of Kolmogorov type in Lp
- functional calculus for generators of strongly continuous multisemigroups of operators in convolutional algebras of generalized functions and ultradistributions;
- linearization of nonlinear mappings on topological vector spaces;
- theorems on the normal marginal distribution of the number of false solutions of the system of nonlinear random equations in the field GF(2);
- block-symmetric analytic functions of limited type on banana spaces;
- spectral theory of generalized Hermitian Jacobian operators;
- analysis on spectra of algebras of analytic and smooth functions in Banach space.