Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2013, Volume 5, Issue 2, Pages 6–12 (Mi vyurm69)  

Mathematics

About Wiener–Hopf Factorization of Functionally Commutative Matrix Functions

V. M. Adukov

South Ural State University

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.

Full text: PDF file (4529 kB)
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UDC: 517.53
Received: 18.03.2013

Citation: V. M. Adukov, “About Wiener–Hopf Factorization of Functionally Commutative Matrix Functions”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 6–12

Citation in format AMSBIB
\Bibitem{Adu13}
\by V.~M.~Adukov
\paper About Wiener--Hopf Factorization of Functionally Commutative Matrix Functions
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 2
\pages 6--12
\mathnet{http://mi.mathnet.ru/vyurm69}


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