Symplectic Geometry and Fourier Analysis

Second Edition

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Symplectic Geometry and Fourier Analysis by Nolan R. Wallach, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nolan R. Wallach ISBN: 9780486829623
Publisher: Dover Publications Publication: February 28, 2018
Imprint: Dover Publications Language: English
Author: Nolan R. Wallach
ISBN: 9780486829623
Publisher: Dover Publications
Publication: February 28, 2018
Imprint: Dover Publications
Language: English

This book derives from author Nolan R. Wallach's notes for a course on symplectic geometry and Fourier analysis, which he delivered at Rutgers University in 1975 for an audience of graduate students in mathematics and their professors. The monograph is geared toward readers who have taken a basic course in differential manifolds and elementary functional analysis.
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book derives from author Nolan R. Wallach's notes for a course on symplectic geometry and Fourier analysis, which he delivered at Rutgers University in 1975 for an audience of graduate students in mathematics and their professors. The monograph is geared toward readers who have taken a basic course in differential manifolds and elementary functional analysis.
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.

More books from Dover Publications

Cover of the book Numerical Methods by Nolan R. Wallach
Cover of the book Lasker's Manual of Chess by Nolan R. Wallach
Cover of the book American Beauties by Nolan R. Wallach
Cover of the book The Prosody Handbook by Nolan R. Wallach
Cover of the book Anatomy, Perspective and Composition for the Artist by Nolan R. Wallach
Cover of the book Ten Tales from Shakespeare by Nolan R. Wallach
Cover of the book Fifty Classic British Films, 1932-1982 by Nolan R. Wallach
Cover of the book Hedda Gabler by Nolan R. Wallach
Cover of the book The Awakening of Faith by Nolan R. Wallach
Cover of the book Viking Gods and Heroes by Nolan R. Wallach
Cover of the book Essential German Grammar by Nolan R. Wallach
Cover of the book Gun in Cheek by Nolan R. Wallach
Cover of the book The Two Gentlemen of Verona by Nolan R. Wallach
Cover of the book Advanced Mathematics for Engineers and Scientists by Nolan R. Wallach
Cover of the book Fundamental Formulas of Physics, Volume One by Nolan R. Wallach
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy