Books in the Operator Theory: Advances and Applications series

This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.

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

Table of Contents Preface . . . . . . . . . . . . . . . . . Kaashoek . Kaashoek . Kaashoek . Gohberg Opening Address . Woerdeman Personal Reminiscences . Mennicken On the Separation of Certain Spectral Components of Selfadjoint Operator Matrices . Introduction . Conditions for the Separation of Spectral Components . Example . 9 References .

In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. This is the first book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.