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...
Saved in:
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2016.
|
| Edition: | 1st ed. 2016. |
| Series: | Progress in Mathematics,
314 |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-29558-9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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 analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize. |
|---|---|
| Physical Description: | XIII, 557 p. 1 illus. in color. online resource. |
| ISBN: | 9783319295589 |
| ISSN: | 0743-1643 ; |
| DOI: | 10.1007/978-3-319-29558-9 |
| Access: | Open Access |