Semi-classical analysis has become a mathematical tool for dealing with a variety of asymptotic problems. This book provides a systematic and extremely useful presentation of the theory in its traditional setting motivated by quantum mechanics. Both the standard C8 pseudodifferential calculus and the analytic microlocal analysis are developed, while the author replaces the delicate local theory with a more straightforward global theory. The only prerequisite required is a basic knowledge of the theory of distributions.

Addressed to non-specialists detailed exercises at the end of the main chapters proofs presented have been made as simple as possible introduces tools useful in the study of phase space tunneling Includes supplementary material: sn.pub/extras

Inhalt
1 Introduction.- 2 Semiclassical Pseudodifferential Calculus.- 3 Microlocalization.- 4 Applications to the Solutions of Analytic Linear PDEs.- 5 Complements: Symplectic Aspects.- 6 Appendix: List of Formulae.- List of Notation.