Quantization on Nilpotent Lie Groups
Language: English
Published by Birkhauser Verlag AG, CH, 2016
- Hardcover
- New
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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.
Seller Inventory # LU-9783319295572
- Title
- Quantization on Nilpotent Lie Groups
- Author
- Veronique Fischer, Michael Ruzhansky
- Publisher
- Birkhauser Verlag AG, CH
- Publication year
- 2016
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3319295578
- ISBN 13
- 9783319295572
- Edition
- 1st ed. 2016.
- Series
- Book 140 of 170: Progress in Mathematics
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.
"Synopsis" may belong to another edition of this title.
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).
"About the title" may belong to another edition of this title.
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