Transmission problems and boundary operator algebras
type: Item
instance of: scholarly article
title: Transmission problems and boundary operator algebras
zbMATH Open document ID: 1064.45001
author: Andreas Axelsson
published in: Integral Equations and Operator Theory
publication date: 2005-02-24T00:00:00Z
review text: The author studies (i) the rotation operator for solving transmission problems, (ii) a general invertibility criterion for operators by defining a Clifford algebra valued Gelfand transform, (iii) the full complex spectrum of the boundary integral operators, and (iv) solutions of the Hilbert boundary value problem and a Riemann type transmission problem by the associated rotation operator.
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 47L80
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 2138205
zbMATH Keywords: rotation operator
zbMATH Keywords: Clifford algebra
zbMATH Keywords: Hilbert boundary value problem
zbMATH Keywords: Gelfand transform
zbMATH Keywords: double layer potential
zbMATH Keywords: boundary integral operators
zbMATH Keywords: Riemann type transmission problem
reviewed by: Chuangan Hu
MaRDI profile type: Publication
full work available at URL: s00020-003-1225-0
OpenAlex ID: W2022614658
DOI: 10.1007/S00020-003-1225-0
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description: scientific article; zbMATH DE number 2138205