Quantization on Nilpotent Lie Groups

Fischer, Veronique, Ruzhansky, Michael

ISBN 10: 3319805991 / ISBN 13: 9783319805993

Published by Birkh?user, 2018

2018. Softcover reprint of the original 1st ed. 2016. paperback. . . . . . Books ship from the US and Ireland. Seller Inventory # V9783319805993

Synopsis:

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.

About the Author:

Veronique Fischer is a Senior Lecturer in Analysis at the University of Bath.

Michael Ruzhansky is a Professor of Pure Mathematics at Imperial College London.

The research of this monograph was supported by the 

EPSRC Grant EP/K039407/1 when Veronique Fischer was employed at

Imperial College London. It started when she was working at the

University of Padua. The work was also supported by the

Marie Curie FP7 project (PseudodiffOperatorS - 301599) and by

the Leverhulme Trust (grant RPG-2014-02).

Bibliographic Details

Title: Quantization on Nilpotent Lie Groups
Publisher: Birkh?user
Publication Date: 2018
Binding: Soft cover
Condition: New