Description

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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.- Schr dinger representations and Weyl quantization.- Explicit symbolic calculus on the Heisenberg group.- List of quantizations.- Bibliography.- Index.

About the Author

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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).