Pseudo-Differential Operators and Symmetries Background Analysis and Advanced Topics /

• Main Authors: Ruzhansky, Michael (Author), Turunen, Ville (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2010.
• Series: Pseudo-Differential Operators, Theory and Applications ; 2
• Subjects: Mathematics.; Algebra.; Topological groups.; Lie groups.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Analysis.; Partial Differential Equations.; Topological Groups, Lie Groups.; Global Analysis and Analysis on Manifolds.

This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to p...

Table of Contents:

• Foundations of Analysis
• Sets, Topology and Metrics
• Elementary Functional Analysis
• Measure Theory and Integration
• Algebras
• Commutative Symmetries
• Fourier Analysis on ?n
• Pseudo-differential Operators on ?n
• Periodic and Discrete Analysis
• Pseudo-differential Operators on
• Commutator Characterisation of Pseudo-differential Operators
• Representation Theory of Compact Groups
• Groups
• Topological Groups
• Linear Lie Groups
• Hopf Algebras
• Non-commutative Symmetries
• Pseudo-differential Operators on Compact Lie Groups
• Fourier Analysis on SU(2)
• Pseudo-differential Operators on SU(2)
• Pseudo-differential Operators on Homogeneous Spaces.