New Trends in Applied Harmonic Analysis

Sparse Representations, Compressed Sensing, and Multifractal Analysis

  • Akram Aldroubi
  • Carlos Cabrelli
  • Stephane Jaffard
  • Ursula Molter

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

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Stéphane Seuret
    Pages 19-65
  3. Yanick Heurteaux
    Pages 67-105
  4. Vladimir Temlyakov
    Pages 107-143
  5. Eugenio Hernández, Maria de Natividade
    Pages 145-189
  6. Xianfeng Hu, Yang Wang, Qiang Wu
    Pages 281-300
  7. Hans G. Feichtinger
    Pages 301-329
  8. Back Matter
    Pages 331-334

About this book


This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and covers both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.


Compressed sensing Compressive Sensing Computational Harmonic Analysis Multifractal Analysis Sparse representation Wavelets Frames

Editors and affiliations

  • Akram Aldroubi
    • 1
  • Carlos Cabrelli
    • 2
  • Stephane Jaffard
    • 3
  • Ursula Molter
    • 4
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA
  2. 2.Depto. de Matemática, Univ. de Buenos AiIMAS - UBA/CONICETBuenos AiresArgentina
  3. 3.UFR de Sciences et TechnologieUniversite Paris Est CreteilCreteil CedexFrance
  4. 4.Depto. de Matemática, Univ. de Buenos AiIMAS, UBA/CONICETBuenos AiresArgentina

Bibliographic information