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**About this book :- **
**Symplectic Methods in Harmonic Analysis and in Mathematical Physics ** written by
** Maurice Gosson **. This book is partially based on a series of lectures which gave during the fall term 2009 at the NuHAG Institute at the University of Vienna. It therefore has a structure reminiscent of a “Lecture Notes” monograph. The book easier and more
enjoyable to a majority of students.

**Book Detail :- **
** Title: ** Symplectic Methods in Harmonic Analysis and in Mathematical Physics
** Edition: **
** Author(s): ** Maurice A. de Gosson
** Publisher: ** Cambridge University Press
** Series: **
** Year: ** 2010
** Pages: ** 362
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-3-7643-9991-7
** Country: ** Austria
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**About Author :- **

The author **Maurice Gosson**
(born 1948), is an Austrian mathematician and mathematical physicist. He born in 1948 in Berlin.
He is currently a Senior Researcher at the Numerical Harmonic Analysis Group (NuHAG) of the University of Vienna, Austria

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**Book Contents :- **
**Symplectic Methods in Harmonic Analysis and in Mathematical Physics ** written by
** Maurice Gosson **
cover the following topics.
'
** Part-I Symplectic Mechanics**

Hamiltonian Mechanics in a Nutshell

The Symplectic Group

Free Symplectic Matrices

The Group of Hamiltonian Symplectomorphisms

Symplectic Capacities

Uncertainty Principles
** Part-II Harmonic Analysis in Symplectic Spaces**

The Metaplectic Group

Heisenberg–Weyl and Grossmann–Royer Operators

Cross-ambiguity and Wigner Functions

The Weyl Correspondence

Coherent States and Anti-Wick Quantization

Hilbert–Schmidt and Trace Class Operators

Density Operator and Quantum States
**Part-III Pseudo-differential Operators and Function Spaces**

Shubin’s Global Operator Calculus
**Part-IV Applications
The Schr¨odinger Equation
The Feichtinger Algebra
The Modulation Spaces Mqs
Bopp Pseudo-differential Operators
Applications of Bopp Quantization
**

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