Harmonic Analysis And Gamma Functions On Symplectic Groups
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Author | : Dihua Jiang |
Publisher | : American Mathematical Society |
Total Pages | : 104 |
Release | : 2024-04-17 |
Genre | : Mathematics |
ISBN | : 1470469073 |
Download Harmonic Analysis and Gamma Functions on Symplectic Groups Book in PDF, Epub and Kindle
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Author | : Maurice A. de Gosson |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2011-07-30 |
Genre | : Mathematics |
ISBN | : 3764399929 |
Download Symplectic Methods in Harmonic Analysis and in Mathematical Physics Book in PDF, Epub and Kindle
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-frequency analysis and quantum mechanics are given, many of them concurrent with ongoing research. For instance, a non-standard pseudo-differential calculus on phase space where the main role is played by “Bopp operators” (also called “Landau operators” in the literature) is introduced and studied. This calculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtinger’s modulation spaces are key actors. This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists working in quantum mechanics. It can also be read with profit by researchers in time-frequency analysis, providing a valuable complement to the existing literature on the topic. A certain familiarity with Fourier analysis (in the broad sense) and introductory functional analysis (e.g. the elementary theory of distributions) is assumed. Otherwise, the book is largely self-contained and includes an extensive list of references.
Author | : Sheng Gong |
Publisher | : |
Total Pages | : 288 |
Release | : 1991 |
Genre | : Group theory |
ISBN | : |
Download Harmonic Analysis on Classical Groups Book in PDF, Epub and Kindle
Author | : John Bergdall |
Publisher | : American Mathematical Society |
Total Pages | : 138 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470314 |
Download On $p$-Adic $L$-Functions for Hilbert Modular Forms Book in PDF, Epub and Kindle
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Author | : Wee Teck Gan |
Publisher | : World Scientific |
Total Pages | : 449 |
Release | : 2024-04-15 |
Genre | : Mathematics |
ISBN | : 9811285837 |
Download On The Langlands Program: Endoscopy And Beyond Book in PDF, Epub and Kindle
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.
Author | : Masao Oi |
Publisher | : American Mathematical Society |
Total Pages | : 174 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469561 |
Download Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups Book in PDF, Epub and Kindle
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Author | : Javier Fernández de Bobadilla |
Publisher | : American Mathematical Society |
Total Pages | : 110 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470535 |
Download Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli Book in PDF, Epub and Kindle
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Author | : Jack Kelly |
Publisher | : American Mathematical Society |
Total Pages | : 172 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470411 |
Download Homotopy in Exact Categories Book in PDF, Epub and Kindle
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Author | : Dongxiao Yu |
Publisher | : American Mathematical Society |
Total Pages | : 140 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470489 |
Download Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition Book in PDF, Epub and Kindle
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Author | : Paul Apisa |
Publisher | : American Mathematical Society |
Total Pages | : 154 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470469111 |
Download Reconstructing Orbit Closures from their Boundaries Book in PDF, Epub and Kindle
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