Quantization on Nilpotent Lie Groups

Michael Ruzhansky, Veronique Fischer

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English

Saint Philip Street Press
08 October 2020

Complex analysis, complex variables; Physics

Summary
Details

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.

Created by: Michael Ruzhansky, Veronique Fischer
Imprint: Saint Philip Street Press
Dimensions: Height: 279mm, Width: 216mm, Spine: 29mm
Weight: 1.297kg
ISBN: 9781013267307
ISBN 10: 1013267303
Pages: 568
Publication Date: 08 October 2020
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active