Calculus on spaces with higher singularities
type: Item
instance of: scholarly article
title: Calculus on spaces with higher singularities
zbMATH Open document ID: 1397.58014
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2017-12-13T00:00:00Z
review text: The main aim of the paper is to describe how algebras of pseudo=differential operators can be organized when the underlying manifold has singularities such as edges, boundaries or higher corners of some order. The paper consists of two chapters. The first one is devoted to the singularities of order \(k=1,2\). The authors propose a new intrinsic definition of Kegel spaces. Moreover they discuss the singular functions of asymptotics, the related ideals of operators. and the parameter dependent edge calculus. They focus on discrete asymptotics. The second chapter is devoted to singularities of order \(k>2\). The following subjects are discussed: Mellin operators of arbitrary order, compositions of symbols, higher Kegel and wedge spaces, the calculus of the operators on singular cones.
reviewed by: Leszek Skrzypczak
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 35S35
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 6818230
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: manifolds with singularities
zbMATH Keywords: operator-valued symbols
zbMATH Keywords: Mellin transform
author: Der-Chen Chang
author: B.-W. Schulze
MaRDI profile type: Publication
full work available at URL: s11868-016-0180-x
OpenAlex ID: W2559961586
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DOI: 10.1007/S11868-016-0180-X
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