Pseudodifferential Analysis on Symmetric Cones
by Unterberger; AndreFormat: Hardcover
Pub. Date: 1995-12-13
Publisher(s): CRC Press
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Summary
This monograph is intended for use by researchers in pseudodifferential analysis. While the emphasis is mainly on analysis on nonsmooth domains the precision of the methods should be of interest to anyone working in pseudodifferential analysis. Also people interested in the geometry or harmonic analysis of symmetric cones will find here a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras.
Table of Contents
| Introduction | |
| General Definition of the Fuchs Calculus | |
| The Geometry of Symmetric Cones | |
| The Covariance Group of the Fuchs Calculus | |
| Geometric Inequalities | |
| Geometric Differential Inequalities | |
| Weights and Classes of Symbols | |
| The Family of m-Symbols | |
| Coherent States | |
| From Symbols to Operators: The Main Estimate and Continuity | |
| From Operators to Symbols: The Converse of the Main Estimate | |
| Asymptotic Expansions | |
| A Beals Characterization of Operators of Classical Type | |
| Action of Diffeomorphisms on Operators of Classical Type | |
| The l-Weyl Calculus: Unbounded Realization | |
| Contraction of the l-Weyl Calculus | |
| The l-Weyl Calculus: Bounded Realization | |
| Contraction of the l-Weyl Calculus (Bounded Realization) |
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