| Description |
1 online resource (xiii, 557 pages) : color illustrations. |
| Series |
Progress in mathematics, 0743-1643 ; volume 314 |
|
Progress in mathematics (Boston, Mass.) ; v. 314.
0743-1643
|
| Access |
Open Access. GW5XE |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Online resource; title from PDF title page (SpringerLink, viewed March 15, 2016). |
| 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. |
| 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. |
| Local Note |
SpringerLink Springer Nature Open Access eBooks |
| Subject |
Nilpotent Lie groups.
|
|
Nilpotent Lie groups. (OCoLC)fst01037753
|
| Added Author |
Ruzhansky, M. (Michael), author.
|
| Other Form: |
Printed edition: 9783319295572 |
| ISBN |
9783319295589 (electronic book) |
|
3319295586 (electronic book) |
|
3319295578 (print) |
|
9783319295572 (print) |
|
9783319295572 (print) |
| Standard No. |
10.1007/978-3-319-29558-9 doi |
|
