Quantization on Nilpotent Lie Groups

by Veronique Fischer, Michael Ruzhansky

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Book Description

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 open book is licensed under a Creative Commons License (CC BY). You can download Quantization on Nilpotent Lie Groups ebook for free in PDF format (5.4 MB).

Book Details

Publisher
Birkhäuser
Published
2016
Pages
568
Edition
1
Language
English
ISBN13
9783319295572
ISBN10
3319295578
ISBN13 Digital
9783319295589
ISBN10 Digital
3319295586
PDF Size
5.4 MB
License
CC BY

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