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.
Keywords:Wiener–Hopf factorization; special indexes; finite groups.
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