M. Ruzhansky, V. Turunen, Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhäuser, Basel, 2010.

List of Contents, Cover

Some samples:

Contents, Preface and Introduction

Part I. Foundations of analysis
(excluding Chapter D. Algebras)

Chapter A. Sets, topology and metrics
Chapter B. Elementary functional analysis
Chapter C. Measure theory and integration
Chapter D. Algebras

Part II. Commutative symmetries
(excluding Chapter 5: Commutator characterisation of pseudo-differential operators)

Chapter 1. Fourier analysis on Rn
Chapter 2. Pseudo-differential operators on Rn
Chapter 3. Periodic and discrete analysis
Chapter 4. Pseudo-differential operators on Tn
Chapter 5. Commutator characterisation of pseudo-differential operators

Part III. Representation theory of compact groups
(excluding Chapter 9: Hopf algebras)

Chapter 6. Groups
Chapter 7. Topological groups
Chapter 8. Linear Lie groups
Chapter 9. Hopf algebras

Part IV. Non-commutative symmetries

Chapter 10. Pseudo-differential operators on compact Lie groups
Chapter 11. Fourier analysis on SU(2)
Chapter 12. Pseudo-differential operators on SU(2)
Chapter 13. Pseudo-differential operators on homogeneous spaces

Bibliography, Notation, and Index
Description at Birkhäuser