Symplectic Methods in Harmonic Analysis and in Mathematical Physics
The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin's global theory of pseudo-diff…
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- Full title :Symplectic Methods in Harmonic Analysis and in Mathematical Physics.
Summary
The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin's global theory of pseudo-differential operators, and Feichtinger's theory of modulation spaces. Several applications to time-frequ.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Springer Basel
- Place of Publication:Basel
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:1 online resource (350 pages)
Edition Identifiers
- ISBN:3764399910, 9783764399917, 9783764399924, 3764399929
- DOI:10.1007/978-3-7643-9992-4
- oclc:ocn990476607
- LC Classification:QC173.7
- Dewey Decimal:530.12
Table of Contents
Symplectic Methods in Harmonic Analysis and in Mathematical Physics; Contents; Foreword; Preface; Prologue; Part I: Symplectic Mechanics; Part II: Harmonic Analysis inSymplectic Spaces; Part III: Pseudo-differential Operatorsand Function Spaces; Part IV: Applications; Bibliography; Index.
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