LEADER 04896nam 22008655 450 001 9910254073603321 005 20200706043318.0 010 $a3-319-27873-8 024 7 $a10.1007/978-3-319-27873-5 035 $a(CKB)3710000000649140 035 $a(EBL)4510830 035 $a(SSID)ssj0001666022 035 $a(PQKBManifestationID)16454495 035 $a(PQKBTitleCode)TC0001666022 035 $a(PQKBWorkID)14999692 035 $a(PQKB)11585451 035 $a(DE-He213)978-3-319-27873-5 035 $a(MiAaPQ)EBC4510830 035 $a(PPN)193444550 035 $a(EXLCZ)993710000000649140 100 $a20160421d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNew Trends in Applied Harmonic Analysis $eSparse Representations, Compressed Sensing, and Multifractal Analysis /$fedited by Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, Ursula Molter 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (356 p.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 300 $aDescription based upon print version of record. 311 $a3-319-27871-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $aMultifractal 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. 330 $aThis volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and covers both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aFourier analysis 606 $aHarmonic analysis 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aMeasure theory 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 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 615 0$aFourier analysis. 615 0$aHarmonic analysis. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 0$aMeasure theory. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 14$aFourier Analysis. 615 24$aAbstract Harmonic Analysis. 615 24$aSignal, Image and Speech Processing. 615 24$aMeasure and Integration. 615 24$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 Stephane$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 $a9910254073603321 996 $aNew trends in applied harmonic analysis$91523500 997 $aUNINA