Quantization on Nilpotent Lie Groups
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the a...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Birkhäuser
2016, 2016
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Edition: | 1st ed. 2016 |
Series: | Progress in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Introduction
- Notation and conventions
- 1 Preliminaries on Lie groups
- 2 Quantization on compact Lie groups
- 3 Homogeneous Lie groups
- 4 Rockland operators and Sobolev spaces
- 5 Quantization on graded Lie groups
- 6 Pseudo-differential operators on the Heisenberg group
- A Miscellaneous
- B Group C* and von Neumann algebras
- Schrödinger representations and Weyl quantization
- Explicit symbolic calculus on the Heisenberg group
- List of quantizations
- Bibliography
- Index