A remark on a polynomial matrix factorization theorem

Lasha Ephremidze; Ilya M. Spitkovsky

doi:10.1515/gmj-2012-0029

Published by De Gruyter September 18, 2012

A remark on a polynomial matrix factorization theorem

Lasha Ephremidze and Ilya M. Spitkovsky

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/gmj-2012-0029

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Abstract.

The Wiener–Hopf factorization of trigonometric polynomial matrix functions is considered and it is proved that the factors are matrices of trigonometric polynomials as well. The natural bounds for partial indices and for orders of the factors are obtained.

Keywords: Polynomial matrix functions; Wiener–Hopf factorization

Received: 2011-12-03

Revised: 2012-05-15

Published Online: 2012-09-18

Published in Print: 2012-09-01

A remark on a polynomial matrix factorization theorem

Abstract.

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