An Introduction to Microlocal Analysis

Összefoglaló

Preface.- 1. Introduction.- 2. Schwartz functions and tempered distributions.- 3. Symbols.- 4. Pseudodifferential operators.- 5. Pseudodifferential operators on manifolds.- 6. Microlocalization.- 7. Hyperbolic evolution equations and Egorov's theorem.- 8. Real principal type propagation of singularities.- 9. Solving wave-type equations.- 10. Propagation of singularities at radial sets.- 11. Late time asymptotics of linear waves on de Sitter space.- Bibliography.- Index.