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Pseudodifferential analysis on conformally compact spaces

About this Title

Robert Lauter

Publication: Memoirs of the American Mathematical Society
Publication Year: 2003; Volume 163, Number 777
ISBNs: 978-0-8218-3272-1 (print); 978-1-4704-0375-1 (online)
DOI: https://doi.org/10.1090/memo/0777
MathSciNet review: 1965451
MSC: Primary 58J40; Secondary 35S05, 46L45, 47G30, 47L80, 58J05

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Table of Contents

Chapters

  • Part 1. Fredholm theory for $0$-pseudodifferential operators
  • 1. Review on basic objects of 0-geometry
  • 2. The small 0-calculus and the 0-calculus with bounds
  • 3. The $b$-$c$-calculus on an interval
  • 4. The reduced normal operator
  • 5. Weighted 0-Sobolev spaces
  • 6. Fredholm theory for 0-pseudodifferential operators
  • Part 2. Algebras of $0$-pseudodifferential operators of order $0$
  • 7. $C$*-algebras of 0-pseudodifferential operators
  • 8. $\Psi$*-algebras of 0-pseudodifferential operators