The index of cusp operators on manifolds with corners
type: Item
instance of: scholarly article
title: The index of cusp operators on manifolds with corners
zbMATH Open document ID: 1001.58015
DOI: 10.1023/A:1014283604496
author: Robert Lauter
author: Sergiu Moroianu
published in: Annals of Global Analysis and Geometry
publication date: 2002-05-30T00:00:00Z
review text: The aim of the paper is to express the index of cusp Fredholm operators on compact manifolds in terms of regularized ``trace'' functionals. First, the authors recall the notation of cusp structure on compact manifolds with corners and cusp differential operators. The construction of an algebra of cusp pseudodifferential operators and the Fredholm criterion for fully elliptic operators acting on suitable Sobolev spaces are described. Then ``trace'' functionals of the cusp calculus are introduced. This functionals are used in the formula of index of fully elliptic pseudodifferential operators proved in the last section. The formula is similar to the residue trace of Wodzicki and Guillemin.
reviewed by: Leszek Skrzypczak
Mathematics Subject Classification ID: 58J22
Mathematics Subject Classification ID: 58J28
Mathematics Subject Classification ID: 58J42
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 1747787
zbMATH Keywords: cusp structure
zbMATH Keywords: manifolds with corners
zbMATH Keywords: index of pseudodifferential operators
MaRDI profile type: Publication
full work available at URL: a:1014283604496
OpenAlex ID: W13189422
description: scientific article; zbMATH DE number 1747787