Factorization of analytic matrix-valued functions
type: Item
instance of: scholarly article
title: Factorization of analytic matrix-valued functions
zbMATH Open document ID: 0957.47019
DOI: 10.1007/BF02557319
author: N. Delaunay
published in: Theoretical and Mathematical Physics
publication date: 2000-06-26T00:00:00Z
review text: The article is devoted to the problem of calculating the partial indices and the Wiener-Hopf factorization of analytic matrix-valued functions. The method of finding the divisors of an analytic matrix-valued function \(a(t)\) that generate the zeros of \(\text{det }a(t)\) is introduced. The method is based upon properties of indices and essential polynomials of families of matrices, an approach for factorization of analytic matrix-valued functions.
reviewed by: Andreiy Kondrat'yev
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1465878
zbMATH Keywords: partial indices
zbMATH Keywords: Wiener-Hopf factorization
zbMATH Keywords: analytic matrix-valued functions
zbMATH Keywords: divisors
zbMATH Keywords: indices
zbMATH Keywords: essential polynomials
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1465878