About Wiener–Hopf Factorization of Functionally Commutative Matrix Functions
Authors
Victor Mikhailovich Adukov
South Ural State University
Keywords:
Wiener–Hopf factorization, special indexes, finite groups
Abstract
An algorithm of an explicit solution of the Wiener–Hopf factorization problem is proposed for functionally commutative matrix functions of a special kind. Elementary facts of the representation theory of finite groups are used. Symmetry of the matrix function that is factored out allows to diagonalize it by a constant linear transformation. Thus, the problem is reduced to the scalar case.
Author Biography
Victor Mikhailovich Adukov, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Department of Mathematical Analysis
