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New Trends in Applied Harmonic Analysis

Sparse Representations, Compressed Sensing, and Multifractal Analysis

  • Book
  • © 2016

Overview

Editors:
  1. Akram Aldroubi

    1. Department of Mathematics, Vanderbilt University, Nashville, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Carlos Cabrelli

    1. Depto. de Matemática, Univ. de Buenos Ai, IMAS - UBA/CONICET, Buenos Aires, Argentina

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    You can also search for this editor in PubMed   Google Scholar

  3. Stephane Jaffard

    1. UFR de Sciences et Technologie, Universite Paris Est Creteil, Creteil Cedex, France

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  4. Ursula Molter

    1. Depto. de Matemática, Univ. de Buenos Ai, IMAS, UBA/CONICET, Buenos Aires, Argentina

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    You can also search for this editor in PubMed   Google Scholar

  • Contributions are written by leaders in the field of harmonic analysis
  • Covers both theoretical aspects and applications of sparse representation, compressed sensing and multifractal analysis
  • Provides a clear introduction to fast growing topics

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Multifractal Analysis of Cantor-Like Measures

    • Kathryn E. Hare
    Pages 1-18

  3. Multifractal Analysis and Wavelets

    • Stéphane Seuret
    Pages 19-65

  4. An Introduction to Mandelbrot Cascades

    • Yanick Heurteaux
    Pages 67-105

  5. Lebesgue-Type Inequalities for Greedy Approximation

    • Vladimir Temlyakov
    Pages 107-143

  6. Results on Non-linear Approximation for Wavelet Bases in Weighted Function Spaces

    • Eugenio Hernández, Maria de Natividade
    Pages 145-189

  7. Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem

    • Peter G. Casazza, Janet C. Tremain
    Pages 191-213

  8. Model Sets and New Versions of Shannon Sampling Theorem

    • Basarab Matei
    Pages 215-279

  9. Stylometry and Mathematical Study of Authorship

    • Xianfeng Hu, Yang Wang, Qiang Wu
    Pages 281-300

  10. Thoughts on Numerical and Conceptual Harmonic Analysis

    • Hans G. Feichtinger
    Pages 301-329

  11. Back Matter

    Pages 331-334
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Keywords

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 cover 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.

Editors and Affiliations

  • Department of Mathematics, Vanderbilt University, Nashville, USA

    Akram Aldroubi

  • Depto. de Matemática, Univ. de Buenos Ai, IMAS - UBA/CONICET, Buenos Aires, Argentina

    Carlos Cabrelli

  • UFR de Sciences et Technologie, Universite Paris Est Creteil, Creteil Cedex, France

    Stephane Jaffard

  • Depto. de Matemática, Univ. de Buenos Ai, IMAS, UBA/CONICET, Buenos Aires, Argentina

    Ursula Molter

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