New Trends in Applied Harmonic Analysis, Volume 2

Harmonic Analysis, Geometric Measure Theory, and Applications

Akram Aldroubi, Carlos Cabrelli, Stéphane Jaffard, Ursula Molter (Herausgeber)

Buch | Hardcover

XX, 321 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-32352-3 (ISBN)

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This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include:

Gabor frames
Falconer distance problem
Hausdorff dimension
Sparse inequalities
Fractional Brownian motion
Fourier analysis in geometric measure theory

This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.

CAZAC sequences and Haagerup's characterization of cyclic N-roots.- Hardy spaces with variable exponents.- Regularity of maximal operators: recent progress and some open problems.- Gabor Frames: Characterizations and Coarse Structure.- On the approximate unit distance problem.- Hausdorff dimension, projections, intersections, and Besicovitch sets.- Dyadic harmonic analysis and weighted inequalities: the sparse revolution.- Sharp quantitative weighted BMO estimates and a new proof of the Harboure-Macías-Segovia's extrapolation theorem.- L^qdimensions of self-similar measures, and applications: a survey.- Sample paths properties of the set-indexed fractional Brownian motion.

Erscheinungsdatum	08.12.2019
Reihe/Serie	Applied and Numerical Harmonic Analysis
Zusatzinfo	XX, 321 p. 29 illus., 4 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	682 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	applied harmonic analysis • CIMPA 2017 school • CIMPA Research School • Geometric measure theory book • Harmonic Analysis book • Harmonic Analysis math • Harmonic Analysis trends • Image processing math • Signal processing math • Ursula Molter mathematics
ISBN-10	3-030-32352-8 / 3030323528
ISBN-13	978-3-030-32352-3 / 9783030323523
Zustand	Neuware