Symplectic Geometry and Fourier Analysis Second Edition
Symplectic Geometry and Fourier Analysis Second Edition
- ISBN 13:
9780486816890
- ISBN 10:
0486816893
- Edition: 2nd
- Format: Paperback
- Copyright: 03/21/2018
- Publisher: Dover Publications
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Summary
The first chapters cover certain geometric preliminaries, advancing to discussions of symplectic geometry and the application of its concepts to the action of a Lie group on a symplectic manifold. Subsequent chapters address Fourier analysis, the metaplectic representation, and quantization. A final chapter on the Kirillov theory applies the ideas of the previous chapters to homogeneous symplectic manifolds of nilpotent Lie groups. The book concludes with an Appendix on Quantum Mechanics by Robert Hermann.