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Landscapes of Time-Frequency Analysis

✍ Scribed by Paolo Boggiatto, Elena Cordero, Maurice de Gosson, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco


Publisher
Springer International Publishing;Birkhäuser
Year
2019
Tongue
English
Leaves
357
Series
Applied and Numerical Harmonic Analysis
Edition
1st ed.
Category
Library

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✦ Synopsis


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,
  • Compressed sensing,
  • Mathematical signal processing,
  • Pseudodifferential operators, and
  • Applications of harmonic analysis to quantum mechanics.
Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.

✦ Table of Contents


Front Matter ....Pages i-xviii
On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs (Árpád Bényi, Tadahiro Oh, Oana Pocovnicu)....Pages 1-32
Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces (Tommaso Bruno, Anita Tabacco, Maria Vallarino)....Pages 33-58
Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of (SL(2,\mathbb {R})) (Allesandra Cauli)....Pages 59-73
On the Atomic Decomposition of Coorbit Spaces with Non-integrable Kernel (Stephan Dahlke, Filippo De Mari, Ernesto De Vito, Lukas Sawatzki, Gabriele Steidl, Gerd Teschke et al.)....Pages 75-144
On the Purity and Entropy of Mixed Gaussian States (Maurice de Gosson)....Pages 145-158
On the Continuity of (\tau )-Wigner Pseudodifferential Operators (Lorenza D’Elia)....Pages 159-171
Gabor Expansions of Signals: Computational Aspects and Open Questions (Hans G. Feichtinger)....Pages 173-206
(L^p) Continuity and Microlocal Properties for Pseudodifferential Operators (Gianluca Garello, Alessandro Morando)....Pages 207-224
Hyperbolic Wavelet Frames and Multiresolution in the Weighted Bergman Spaces (Margit Pap)....Pages 225-247
Infinite Order Pseudo-Differential Operators (Stevan Pilipović, Bojan Prangoski)....Pages 249-276
New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups (Michael Ruzhansky, Nurgissa Yessirkegenov)....Pages 277-289
Continuity Properties of Multilinear Localization Operators on Modulation Spaces (Nenad Teofanov)....Pages 291-307
Semi-continuous Convolution Estimates on Weakly Periodic Lebesgue Spaces (Joachim Toft)....Pages 309-321
Almost Diagonalization of Pseudodifferential Operators (S. Ivan Trapasso)....Pages 323-342
Back Matter ....Pages 343-347

✦ Subjects


Mathematics; Fourier Analysis; Operator Theory; Partial Differential Equations; Abstract Harmonic Analysis


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