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Titlebook: New Trends in Applied Harmonic Analysis; Sparse Representatio Akram Aldroubi,Carlos Cabrelli,Ursula Molter Book 2016 Springer International

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2296-5009 ers 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.978-3-319-80232-9978-3-319-27873-5Series ISSN 2296-5009 Series E-ISSN 2296-5017
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An Introduction to Mandelbrot Cascades, with non-degeneracy. We also calculate the almost sure dimension of the measures. Finally, we give an outline on multifractal analysis of Mandelbrot cascades. This course was delivered in September 2013 during a meeting of the “Multifractal Analysis GDR” (GDR . 3475 of the french CNRS).
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Results on Non-linear Approximation for Wavelet Bases in Weighted Function Spaces,elets behind them. We also present recent results of the authors concerning non-linear approximation in sequence spaces and the validity of Jackson and Bernstein inequalities in general smoothness spaces.
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Multifractal Analysis and Wavelets,ons in Besov spaces or typical measures are multifractal in the sense of Baire categories. We finish by some well-known examples of multifractal wavelet series, random and deterministic, focusing on the influence of certain adaptive threshold procedures to the multifractal properties of signals.
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Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem,vastava. In the cases where . are important for the theorem, we will give the best constants available in terms of a . taken from (A. Marcus, D. Spielman and N. Srivastava, ., arXiv 1306.3969v4). Thus, if better constants eventually become available, it will be simple to adapt these new constants to the theorems.
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2296-5009 tion, compressed sensing and multifractal analysis.Provides 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 harmoni
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Book 2016sentations, 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
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