Abstract
This book presents a consistent development of the KohnNirenberg 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.
The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
Original language  English 

Publisher  Birkhäuser 
Number of pages  557 
Volume  314 
Edition  Progress in Mathematics 
ISBN (Electronic)  9783319295589 
ISBN (Print)  9783319295572 
Publication status  Published  Apr 2016 
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Profiles

Veronique Fischer
 Department of Mathematical Sciences  Senior Lecturer
 EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
Person: Research & Teaching