TY  - BOOK
AU  - Veronique Fischer
AU  - Michael Ruzhansky
TI  - Quantization on nilpotent lie groups
T2  - Progress in Mathematics
SN  - 9783319295572
AV  - QA387 
PY  - 2016///]
CY  - Switzerland
PB  - Birkhauser
KW  - Mathematics
N1  - 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
N2  - 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. --- summary provided by publisher
UR  - https://link.springer.com/book/10.1007/978-3-319-29558-9#toc
ER  -