Quantization on Nilpotent Lie Groups
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 F…
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Produktdetails
Weitere Autoren: Fischer, Veronique
- ISBN: 978-3-319-29557-2
- EAN: 9783319295572
- Produktnummer: 19298327
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 572 S.
- Masse: H24.1 cm x B16.0 cm x D3.6 cm 1'016 g
- Auflage: 1st ed. 2016
- Abbildungen: HC runder Rücken kaschiert
- Gewicht: 1016
Über den Autor
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 atImperial College London. It started when she was working at theUniversity of Padua. The work was also supported by theMarie Curie FP7 project (PseudodiffOperatorS - 301599) and bythe Leverhulme Trust (grant RPG-2014-02).
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