Order filtrations of the edge algebra
type: Item
instance of: scholarly article
title: Order filtrations of the edge algebra
zbMATH Open document ID: 1328.58025
author: Xiaojing Lyu
author: Tao Qian
author: B.-W. Schulze
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2015-09-22T00:00:00Z
review text: For a class of manifolds \(M\) with edge \(Y\) the last author introduced the edge calculus. This calculus is useful for boundary problems of (pseudo-)differential operators \(A\) which degenerate at the edge. In addition to the interior symbol \(\sigma_0(A)\) defined on \(T^*(M\setminus Y)\), there is an operator valued symbol defined on \(T^* Y\), the twisted homogeneous symbol \(\sigma_1(A)\). Using a redefinition of edge amplitude functions, the authors derive a new characterisation of the filtration of edge operators by \((\sigma_0,\sigma_1)\), simplifying earlier results.
reviewed by: Sönke Hansen
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 6484385
zbMATH Keywords: edge calculus
zbMATH Keywords: singular spaces
MaRDI profile type: Publication
full work available at URL: s11868-015-0126-8
OpenAlex ID: W1012780317
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DOI: 10.1007/S11868-015-0126-8
description: scientific article; zbMATH DE number 6484385