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Landscapes of Time-Frequency Analysis

ATFA 2019

  • Book
  • © 2020

Overview

Editors:
  1. Paolo Boggiatto

    1. Department of Mathematics, University of Turin, Torino, Italy

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  2. Tommaso Bruno

    1. Department of Mathematics, Ghent University, Ghent, Belgium

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  3. Elena Cordero

    1. Department of Mathematics, University of Turin, Torino, Italy

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  4. Hans G. Feichtinger

    1. Institute of Mathematics, University of Vienna, Wien, Austria

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  5. Fabio Nicola

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

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  6. Alessandro Oliaro

    1. Department of Mathematics, University of Turin, Torino, Italy

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  7. Anita Tabacco

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

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  8. Maria Vallarino

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

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  • Presents select talks from the second international Aspects of Time-Frequency Analysis conference
  • Explores state-of-the-art topics in time-frequency analysis, with chapters focusing on both comprehensive summaries as well as specific new results
  • Chapter authors are leaders in the field of harmonic analysis and its many applications

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Radon Transform: Dual Pairs and Irreducible Representations

    • Giovanni S. Alberti, Francesca Bartolucci, Filippo De Mari, Ernesto De Vito
    Pages 1-28

  3. Data Approximation with Time-Frequency Invariant Systems

    • Davide Barbieri, Carlos Cabrelli, Eugenio Hernández, Ursula Molter
    Pages 29-42

  4. The Shearlet Transform and Lizorkin Spaces

    • Francesca Bartolucci, Stevan Pilipović, Nenad Teofanov
    Pages 43-62

  5. Time–Frequency Localization Operators: State of the Art

    • Federico Bastianoni
    Pages 63-74

  6. Time-Frequency Analysis: What We Know and What We Don’t

    • Leon Cohen
    Pages 75-101

  7. Some Notes About Distribution Frame Multipliers

    • Rosario Corso, Francesco Tschinke
    Pages 103-122

  8. Generalized Anti-Wick Quantum States

    • Maurice de Gosson
    Pages 123-134

  9. Signal Analysis and Quantum Formalism: Quantizations with No Planck Constant

    • Jean Pierre Gazeau, Célestin Habonimana
    Pages 135-155

  10. Quantitative Methods in Ocular Fundus Imaging: Analysis of Retinal Microvasculature

    • Demetrio Labate, Basanta R. Pahari, Sabrine Hoteit, Mariachiara Mecati
    Pages 157-174

  11. A Time–Frequency Analysis Perspective on Feynman Path Integrals

    • S. Ivan Trapasso
    Pages 175-202

  12. Back Matter

    Pages 203-208
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Keywords

About this book

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are collected as well, making this a valuable resource for readers seeking to be brought up-to-date. Topics covered include:
  • Signal analysis
  • Quantum theory
  • Modulation space theory
  • Applications to the medical industry
  • Wavelet transform theory
  • Anti-Wick operators

Landscapes of Time-Frequency Analysis: ATFA 2019 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

  • Department of Mathematics, University of Turin, Torino, Italy

    Paolo Boggiatto, Elena Cordero, Alessandro Oliaro

  • Department of Mathematics, Ghent University, Ghent, Belgium

    Tommaso Bruno

  • Institute of Mathematics, University of Vienna, Wien, Austria

    Hans G. Feichtinger

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

    Fabio Nicola, Anita Tabacco, Maria Vallarino

Bibliographic Information

  • Book Title: Landscapes of Time-Frequency Analysis

  • Book Subtitle: ATFA 2019

  • Editors: Paolo Boggiatto, Tommaso Bruno, Elena Cordero, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco, … Maria Vallarino

  • Series Title: Applied and Numerical Harmonic Analysis

  • DOI: https://doi.org/10.1007/978-3-030-56005-8

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-56004-1Published: 22 November 2020

  • Softcover ISBN: 978-3-030-56007-2Published: 22 November 2021

  • eBook ISBN: 978-3-030-56005-8Published: 21 November 2020

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XXII, 208

  • Number of Illustrations: 3 b/w illustrations, 5 illustrations in colour

  • Topics: Functional Analysis

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