Quantization on Nilpotent Lie Groups (Paperback) (ISBN-13: 9781013267307)

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.

This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Author: Michael Ruzhansky
ISBN-10: 1013267303
ISBN-13: 9781013267307
Publisher: Saint Philip Street Press
Language: English
Published: 10/08/2020
Pages: 568
Format: Paperback
Weight: 2.86lbs
Size: 11.00h x 8.50w x 1.15d