Pseudodifferential analysis on conformally compact spaces

Abstract

Part 1. Fredholm theory for $0$-pseudodifferential operators: Review of basic objects of $0$-geometry The small $0$-calculus and the $0$-calculus with bounds The $b$-$c$-calculus on an interval The reduced normal operator Weighted $0$-Sobolev spaces Fredholm theory for $0$-pseudodifferential operators Part 2. Algebras of $0$-pseudodifferential operators of order $0$: $C^*$-algebras of $0$-pseudodifferential operators $\Psi^*$-algebras of $0$-pseudodifferential operators Appendix A. Spaces of conormal functions Bibliography Notations Index.