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.
- ISBN13 9783319295572
- Publish Date 22 March 2016
- Publish Status Active
- Out of Print 20 March 2021
- Publish Country CH
- Imprint Birkhauser Verlag AG
- Edition 1st ed. 2016
- Format Hardcover
- Pages 557
- Language English