New Trends in Applied Harmonic Analysis

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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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.

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

• 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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