Asymptotic properties of the solutions of a multicomponent linear conjugation problem
type: Item
instance of: scholarly article
title: Asymptotic properties of the solutions of a multicomponent linear conjugation problem
zbMATH Open document ID: 0603.30049
DOI: 10.1007/BF01017775
author: O. V. Meunargiya
published in: Theoretical and Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The author considers a many-component linear conjugation problem of the form \[ (1)\quad F^+(t)=G(t)F^-(t),\quad | t| =1 \] in the Hölder space \(H_{\nu}({\mathcal L})\), \({\mathcal L}=\{t:| t| =1\}\), \(0<\nu <1\). Here \(G(t)=(G_{ij}(t))_{i,j}\in H_{\nu}(L)\), \(\det G(t)\neq 0\), \(t\in {\mathcal L}\) and the indices of diagonal elements \(G_{ii}(t)\) are positive. He establishes asymptotic properties at infinity for the solution of the problem (1) constructed in the form of a series of piecewise holomorphic functions.
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 3973275
zbMATH Keywords: many-component linear conjugation problem
MaRDI profile type: Publication
cites work: Q5550638
cites work: Q5820804
cites work: The noncommutative Markovian property
full work available at URL: https://doi.org/10.1007/bf01017775
OpenAlex ID: W2072874818
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description: scientific article; zbMATH DE number 3973275