Produktbild: Quantization on Nilpotent Lie Groups

Quantization on Nilpotent Lie Groups

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Progress in Mathematics 314

ISBN: 3319805991
ISBN 13: 9783319805993
Autor: Fischer, Veronique/Ruzhansky, Michael
Verlag: Springer Basel AG
Umfang: xiii, 557 S., 1 farbige Illustr., 557 p. 1 illus. in color.
Erscheinungsdatum: 20.04.2018
Auflage: 1/2016
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 5446307 Kategorie:

Beschreibung

Autorenporträt

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).

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E-Mail: juergen.hartmann@springer.com

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