English

An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem

Complex Variables 2010-11-17 v1

Abstract

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

Keywords

Cite

@article{arxiv.1011.3777,
  title  = {An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem},
  author = {Lasha Ephremidze},
  journal= {arXiv preprint arXiv:1011.3777},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T16:44:44.664Z