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An elementary proof of the polynomial matrix spectral factorization theorem

Published online by Cambridge University Press:  24 July 2014

Lasha Ephremidze
Lasha Ephremidze*
Affiliation:
Razmadze Mathematical Institute, Tbilisi State University, 0143 Tbilisi, Georgia, lasha.ephremidze@tsu.ge
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Abstract

A very simple proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line), which relies on elementary complex analysis and linear algebra, is presented.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 747 - 751
Copyright
Copyright © Royal Society of Edinburgh 2014 

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