Quantization on Nilpotent Lie Groups, Softcover reprint of the original 1st ed. 2016 Progress in Mathematics Series, Vol. 314
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.
Preface.- Introduction.- Notation and conventions.- 1 Preliminaries on Lie groups.- 2 Quantization on compact Lie groups.- 3 Homogeneous Lie groups.- 4 Rockland operators and Sobolev spaces.- 5 Quantization on graded Lie groups.- 6 Pseudo-differential operators on the Heisenberg group.- A Miscellaneous.- B Group C* and von Neumann algebras.- Schrödinger representations and Weyl quantization.- Explicit symbolic calculus on the Heisenberg group.- List of quantizations.- Bibliography.- Index.
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).
Date de parution : 03-2016
Ouvrage de 557 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 52,74 €
Ajouter au panierDate de parution : 04-2018
Ouvrage de 557 p.
15.5x23.5 cm