M. Ruzhansky, V. Turunen
Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
Birkhäuser,
Some samples
(formatting in the final version book is
improved compared with that below)
Contents, Preface and
Introduction
Part I. Foundations of analysis
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