Description - Symplectic Geometry and Fourier Analysis by Nolan R. Wallach
Suitable for advanced undergraduates and graduate students in mathematics, this monograph is geared toward readers who have taken a basic course in differential manifolds and elementary functional analysis. Chapters include differential geometry, symplectic geometry, homogeneous symplectic manifolds, Fourier analysis, the metaplectic representation, quantization, and the Kirillov theory. The book concludes with an Appendix on Quantum Mechanics by Robert Hermann. AUTHOR: Nolan R. Wallach is Professor Emeritus of Mathematics at the University of California, San Diego. His other books include Real Reductive Groups and Symmetry, Representations, and Invariants.
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