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9783764365189

Approaches to Singular Analysis

by ; ;
  • ISBN13:

    9783764365189

  • ISBN10:

    3764365188

  • Format: Hardcover
  • Copyright: 2001-03-01
  • Publisher: Birkhauser

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Summary

The purpose of this publication is to present, in one book, various approaches to analytic problems that arise in the context of singular spaces. It is based on the workshop "Approaches to Singular Analysis" which was held at the Humboldt University Berlin in April 1999.The book contains articles by workshop participants as well as invited contributions. The former are expanded versions of talks given at the workshop; they offer introductions to various pseudodifferential calculi and discussions of relations between them. In addition, a limited number of invited papers from mathematicians who have made significant contributions to this field are included.

Table of Contents

Preface v
The Cone Algebra and a Kernel Characterization of Green Operators
1(29)
J. Seiler
Basics of the b--Calculus
30(55)
D. Grieser
A Short Introduction to Boutet de Monvel's Calculus
85(32)
E. Schrohe
Singular Asymptotics Lemma and Push--Forward Theorem
117(14)
D. Grieser
M. Gruber
Pseudodifferential Analysis on Manifolds with Boundary -- a Comparison of b--Calculus and Cone Algebra
131(36)
R. Lauter
J. Seiler
Operator Algebras with Symbol Hierarchies on Manifolds with Singularities
167(41)
B.-W. Schulze
The Resolvent Expansion on Singular Spaces
208(26)
J. Bruning
A General Index Formula on Toric Manifolds with Conical Points
234
B. Fedosov
B.-W. Schulze
N. Tarkhanov

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