Approaches to Singular Analysis

This collection presents various approaches to analytic problems that arise in the context of singular spaces. It contains articles offering introductions to various pseudodifferential calculi and discussions of relations between them, plus invited papers from mathematicians who have made significant contributions to this field

Contenu

The Cone Algebra and a Kernel Characterization of Green Operators.- Basics of the b-Calculus.- A Short Introduction to Boutet de Monvel's Calculus.- Singular Asymptotics Lemma and Push-Forward Theorem.- Pseudodifferential Analysis on Manifolds with Boundary - a Comparison of b-Calculus and Cone Algebra.- Operator Algebras with Symbol Hierarchies on Manifolds with Singularities.- The Resolvent Expansion on Singular Spaces.- A General Index Formula on Toric Manifolds with Conical Points.