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Symplectic Geometry and Fourier Analysis (2nd Edition)

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.

Publisher: Dover Publications; 2 edition (March 21, 2018)
Language: English
ISBN-10: 0486816893
ISBN-13: 978-0486816890
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