New Trends in Applied Harmonic Analysis

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Beschreibung

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.

Zusammenfassung

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

Inhaltsverzeichnis

Multifractal Analysis of Cantor-like Measures.- Multifractal Analysis and Wavelets.- An Introduction to Mandelbrot Cascades.- Lebesgue-type Inequalities for Greedy Approximation.- Results on Non-linear Approximation for Wavelet Bases in Weighted Function Spaces.- Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem.- Model Sets and New Versions pf Shannon Sampling Theorem.- Stylometry and Mathematical Study of Authorship.- Thoughts on Numerical and Conceptual Harmonic Analysis.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Applied and Numerical Harmonic Analysis
Inhalt:	xxviii 334 S. 4 s/w Illustr. 19 farbige Illustr. 334 p. 23 illus. 19 illus. in color.
ISBN-13:	9783319278711
ISBN-10:	3319278711
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Redaktion:	Aldroubi, Akram Molter, Ursula Jaffard, Stephane Cabrelli, Carlos
Herausgeber:	Akram Aldroubi/Carlos Cabrelli/Stephane Jaffard et al
Auflage:	1st ed. 2016
Hersteller:	Springer International Publishing Springer International Publishing AG Applied and Numerical Harmonic Analysis
Maße:	241 x 160 x 26 mm
Von/Mit:	Akram Aldroubi (u. a.)
Erscheinungsdatum:	29.04.2016
Gewicht:	0,711 kg