Shamir-Duduchava Factorization of Elliptic Symbols
From MaRDI portal
Publication:3453765
zbMATH Open1326.65170arXiv1705.00503MaRDI QIDQ3453765
Author name not available (Why is that?)
Publication date: 30 November 2015
Abstract: This paper considers the factorization of elliptic symbols which can be represented by matrix-valued functions. Our starting point is a extit{Fundamental Factorization Theorem}, due to Budjanu and Gohberg. We critically examine the work of Shamir, together with some corrections and improvements as proposed by Duduchava. As an integral part of this work, we give a new and detailed proof that certain sub-algebras of the Wiener algebra on the real line satisfy a sufficient condition for right standard factorization. Moreover, assuming only the Fundamental Factorization Theorem, we provide a complete proof of an important result from Shargorodsky, on the factorization of an elliptic homogeneous matrix-valued function, useful in the context of the inversion of elliptic systems of multidimensional singular integral operators in a half-space.
Full work available at URL: https://arxiv.org/abs/1705.00503
No records found.
No records found.
This page was built for publication: Shamir-Duduchava Factorization of Elliptic Symbols
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3453765)
