New Trends in Applied Harmonic Analysis
Sparse Representations, Compressed Sensing, and Multifractal Analysis
Seiten
2016
|
1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-27871-1 (ISBN)
Springer International Publishing (Verlag)
978-3-319-27871-1 (ISBN)
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". Newinteractions between harmonic analysis and signal and image processing haveseen striking development in the last 10 years, and several technologicaldeadlocks have been solved through the resolution of deep theoretical problemsin harmonic analysis. New Trends in Applied Harmonic Analysis focuses on twoparticularly active areas that are representative of such advances:multifractal analysis, and sparse representation and compressed sensing. Thecontributions are written by leaders in these areas, and cover boththeoretical aspects and applications. This work should prove useful not only toPhD students and postdocs in mathematics and signal and image processing,but also to researchers working in related topics.
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.
Erscheinungsdatum | 16.03.2016 |
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Reihe/Serie | Applied and Numerical Harmonic Analysis |
Zusatzinfo | XXVIII, 334 p. 23 illus., 19 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Abstract harmonic analysis • compressed sensing • compressive sensing • Computational Harmonic Analysis • fourier analysis • Frames • Mathematical Applications in Computer Science • mathematics and statistics • measure and integration • multifractal analysis • Signal, Image and Speech Processing • Sparse Representation • Wavelets |
ISBN-10 | 3-319-27871-1 / 3319278711 |
ISBN-13 | 978-3-319-27871-1 / 9783319278711 |
Zustand | Neuware |
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