Geodesic
About Wiener--Hopf Factorization of Functionally Commutative Matrix Functions
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 6-12

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     title = {About {Wiener--Hopf} {Factorization} of {Functionally} {Commutative} {Matrix} {Functions}},
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V. M. Adukov. About Wiener--Hopf Factorization of Functionally Commutative Matrix Functions. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 6-12. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a0/