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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

  2. Elena Cordero

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

  3. Maurice de Gosson

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

  4. Hans G. Feichtinger

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

  5. Fabio Nicola

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

  6. Alessandro Oliaro

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

  7. Anita Tabacco

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

  • 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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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.

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  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 \(SL(2,\mathbb {R})\)

    • Alessandra Cauli
    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 \(SL(2,\mathbb {R})\)

    • Alessandra Cauli
    Pages C1-C1

  17. Back Matter

    Pages 343-347
    Download chapter PDF
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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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Bibliographic Information

  • Book Title: Landscapes of Time-Frequency Analysis

  • Editors: Paolo Boggiatto, Elena Cordero, Maurice de Gosson, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco

  • Series Title: Applied and Numerical Harmonic Analysis

  • DOI: https://doi.org/10.1007/978-3-030-05210-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-05209-6Published: 14 February 2019

  • eBook ISBN: 978-3-030-05210-2Published: 30 January 2019

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XVIII, 347

  • Number of Illustrations: 2 b/w illustrations, 1 illustrations in colour

  • Topics: Fourier Analysis, Operator Theory, Analysis, Abstract Harmonic Analysis

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