LEADER 04836nam 22007815 450 001 9910360849103321 005 20200702225533.0 010 $a3-030-32353-6 024 7 $a10.1007/978-3-030-32353-0 035 $a(CKB)4100000009939754 035 $a(MiAaPQ)EBC5986761 035 $a(DE-He213)978-3-030-32353-0 035 $a(PPN)269148051 035 $a(EXLCZ)994100000009939754 100 $a20191126d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNew Trends in Applied Harmonic Analysis, Volume 2 $eHarmonic Analysis, Geometric Measure Theory, and Applications /$fedited by Akram Aldroubi, Carlos Cabrelli, Stéphane Jaffard, Ursula Molter 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (335 pages) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 311 $a3-030-32352-8 320 $aIncludes bibliographical references. 327 $aCAZAC 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. . 330 $aThis contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include: Gabor frames Falconer distance problem Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in geometric measure theory This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aFourier analysis 606 $aHarmonic analysis 606 $aMeasure theory 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 615 0$aFourier analysis. 615 0$aHarmonic analysis. 615 0$aMeasure theory. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 14$aFourier Analysis. 615 24$aAbstract Harmonic Analysis. 615 24$aMeasure and Integration. 615 24$aSignal, Image and Speech Processing. 615 24$aMathematical Applications in Computer Science. 676 $a515.2433 702 $aAldroubi$b Akram$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCabrelli$b Carlos$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aJaffard$b Stéphane$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMolter$b Ursula$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360849103321 996 $aNew Trends in Applied Harmonic Analysis, Volume 2$91732605 997 $aUNINA