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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.- Schringer 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).
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