New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis

✍ Scribed by Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, Ursula Molter (eds.)

Publisher: Birkhäuser Basel
Year: 2016
Tongue: English
Leaves: 356
Series: Applied and Numerical Harmonic Analysis
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxviii
Multifractal Analysis of Cantor-Like Measures....Pages 1-18
Multifractal Analysis and Wavelets....Pages 19-65
An Introduction to Mandelbrot Cascades....Pages 67-105
Lebesgue-Type Inequalities for Greedy Approximation....Pages 107-143
Results on Non-linear Approximation for Wavelet Bases in Weighted Function Spaces....Pages 145-189
Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem....Pages 191-213
Model Sets and New Versions of Shannon Sampling Theorem....Pages 215-279
Stylometry and Mathematical Study of Authorship....Pages 281-300
Thoughts on Numerical and Conceptual Harmonic Analysis....Pages 301-329
Back Matter....Pages 331-334

✦ Subjects

Fourier Analysis; Abstract Harmonic Analysis; Signal, Image and Speech Processing; Measure and Integration; Mathematical Applications in Computer Science

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