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BL
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| Record Number
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860541
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| Main Entry
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Aspects of Time-Frequency Analysis (Conference)(1st :2017 :, Turin, Italy)
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| Title & Author
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Landscapes of time-frequency analysis /\ Paolo Boggiatto [and 6 others], editors.
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| Publication Statement
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Cham, Switzerland :: Springer Nature :: Birkhäuser,, 2019.
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| Series Statement
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Applied and numerical harmonic analysis
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| Page. NO
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1 online resource
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| ISBN
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3030052109
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: 9783030052102
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9783030052096
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| Notes
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"The first international conference Aspects of Time-Frequency Analysis "ATFA17" took place during 5-7 June 2017 at the Politecnico di Torino"--Preface.
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; ANHA Series Preface; Preface; Acknowledgements; Contents; Contributors; 1 On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs; 1.1 Introduction; 1.2 On Random Initial Data; 1.2.1 Random Initial Data on mathbbTd; 1.2.2 Probabilistic Strichartz Estimates; 1.2.3 Random Initial Data on mathbbRd; 1.3 Probabilistic Well-Posedness of NLW and NLS; 1.3.1 Basic Almost Sure Local Well-Posedness Argument; 1.3.2 On Almost Sure Global Well-Posedness; 1.3.3 Further Discussions; 1.4 Remarks and Comments; References.
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2 Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces2.1 Introduction; 2.2 Notation; 2.3 The Local Hardy Space mathfrakh1(mathbbX); 2.4 Boundedness of mathcalTt from mathfrakh1(mathbbX) to L1(mathbbX); 2.5 Boundedness of mathcalTt on mathfrakh1(mathbbX); References; 3 Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of SL(2,mathbbR); 3.1 Introduction; 3.2 Preliminaries; 3.2.1 Integration on the Symplectic Group; 3.2.2 The Metaplectic Representation; 3.2.3 Modulation Spaces.
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3.3 The Role of the Metaplectic Representation in Time-Frequency Analysis3.3.1 The Wigner Distribution and Some of its Properties; 3.3.2 Reproducing Groups; 3.4 On Dispersive and Strichartz Estimates for the Metaplectic Representation; 3.5 Proof of the Main Results; References; 4 On the Atomic Decomposition of Coorbit Spaces with Non-integrable Kernel; 4.1 Introduction; 4.2 An Overview; 4.3 Discretization; 4.3.1 An Assumption on the Kernel; 4.3.2 Atomic Decompositions; 4.3.3 An Example: Coorbit Theory for Paley-Wiener Spaces; 4.4 Obstructions to Discretization for Non-integrable Kernels.
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| Abstract
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The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2018, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: abstract harmonic analysis, numerical harmonic analysis, sampling theory, gabor analysis, time-frequency analysis, mathematical signal processing, pseudodifferential operations, and applications of harmonic analysis to quantum mechanics.
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Frequency spectra, Congresses.
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Spectrum analysis, Congresses.
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Time-- Systems and standards, Congresses.
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Frequency spectra.
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SCIENCE-- Physics-- Quantum Theory.
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Spectrum analysis.
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Time-- Systems and standards.
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| Dewey Classification
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539.7
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| LC Classification
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QC454.F85A86 2019
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| Added Entry
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Boggiatto, Paolo
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