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＜電子ブック＞
New Trends in Applied Harmonic Analysis, Volume 2 : Harmonic Analysis, Geometric Measure Theory, and Applications / edited by Akram Aldroubi, Carlos Cabrelli, Stéphane Jaffard, Ursula Molter
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
本文言語	英語
大きさ	XX, 321 p. 29 illus., 4 illus. in color : online resource
著者標目	Aldroubi, Akram editor Cabrelli, Carlos editor Jaffard, Stéphane editor Molter, Ursula editor SpringerLink (Online service)
件　名	LCSH:Fourier analysis LCSH:Harmonic analysis LCSH:Measure theory LCSH:Signal processing LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Fourier Analysis FREE:Abstract Harmonic Analysis FREE:Measure and Integration FREE:Signal, Speech and Image Processing FREE:Mathematical Applications in Computer Science
一般注記	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 -- Lq dimensions of self-similar measures, and applications: a survey -- Sample paths properties of the set-indexed fractional Brownian motion. 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 HTTP:URL=https://doi.org/10.1007/978-3-030-32353-0

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