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Landscapes of Time-Frequency Analysis

  • Book
  • © 2019

Overview

Editors:
  1. Paolo Boggiatto

    1. Dipartimento di Matematica “G. Peano”, University of Torino, Turin, Italy

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  2. Elena Cordero

    1. Dipartimento di Matematica “G. Peano”, University of Torino, Turin, Italy

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  3. Maurice de Gosson

    1. Faculty of Mathematics, University of Vienna, Vienna, Austria

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  4. Hans G. Feichtinger

    1. Faculty of Mathematics, University of Vienna, Vienna, Austria

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  5. Fabio Nicola

    1. Department of Mathematical Sciences, Polytechnic University of Torino, Turin, Italy

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  6. Alessandro Oliaro

    1. Dipartimento di Matematica “G. Peano”, University of Torino, Turin, Italy

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  7. Anita Tabacco

    1. Department of Mathematical Sciences, Polytechnic University of Torino, Turin, Italy

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  • Presents select talks from the first-annual Aspects of Time-Frequency Analysis conference
  • Explores interesting connections among a variety of applications of harmonic analysis and pseudodifferential operators in the context of time-frequency analysis
  • Chapter authors are leaders in the field of harmonic analysis and its applications

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xviii
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  2. On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs

    • Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
    Pages 1-32

  3. Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces

    • Tommaso Bruno, Anita Tabacco, Maria Vallarino
    Pages 33-58

  4. Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of \(SL(2,\mathbb {R})\)

    • Francesca M. Gasparini
    Pages 59-73

  5. 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

  6. On the Purity and Entropy of Mixed Gaussian States

    • Maurice de Gosson
    Pages 145-158

  7. On the Continuity of \(\tau \)-Wigner Pseudodifferential Operators

    • Lorenza D’Elia
    Pages 159-171

  8. Gabor Expansions of Signals: Computational Aspects and Open Questions

    • Hans G. Feichtinger
    Pages 173-206

  9. \(L^p\) Continuity and Microlocal Properties for Pseudodifferential Operators

    • Gianluca Garello, Alessandro Morando
    Pages 207-224

  10. Hyperbolic Wavelet Frames and Multiresolution in the Weighted Bergman Spaces

    • Margit Pap
    Pages 225-247

  11. Infinite Order Pseudo-Differential Operators

    • Stevan Pilipović, Bojan Prangoski
    Pages 249-276

  12. New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups

    • Michael Ruzhansky, Nurgissa Yessirkegenov
    Pages 277-289

  13. Continuity Properties of Multilinear Localization Operators on Modulation Spaces

    • Nenad Teofanov
    Pages 291-307

  14. Semi-continuous Convolution Estimates on Weakly Periodic Lebesgue Spaces

    • Joachim Toft
    Pages 309-321

  15. Almost Diagonalization of Pseudodifferential Operators

    • S. Ivan Trapasso
    Pages 323-342

  16. Correction to: Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of \(SL(2,\mathbb {R})\)

    • Francesca M. Gasparini
    Pages C1-C1

  17. Back Matter

    Pages 343-347
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Keywords

About this book

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, 2017, 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.

Editors and Affiliations

  • Dipartimento di Matematica “G. Peano”, University of Torino, Turin, Italy

    Paolo Boggiatto, Elena Cordero, Alessandro Oliaro

  • Faculty of Mathematics, University of Vienna, Vienna, Austria

    Maurice de Gosson, Hans G. Feichtinger

  • Department of Mathematical Sciences, Polytechnic University of Torino, Turin, Italy

    Fabio Nicola, Anita Tabacco

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