LEADER 03900nam 22007095 450 001 9910255456203321 005 20200705124119.0 010 $a3-319-68530-9 024 7 $a10.1007/978-3-319-68530-4 035 $a(CKB)4100000001794746 035 $a(DE-He213)978-3-319-68530-4 035 $a(MiAaPQ)EBC6312985 035 $a(MiAaPQ)EBC5579777 035 $a(Au-PeEL)EBL5579777 035 $a(OCoLC)1066198722 035 $a(PPN)223955833 035 $a(EXLCZ)994100000001794746 100 $a20180105d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFramelets and Wavelets $eAlgorithms, Analysis, and Applications /$fby Bin Han 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017. 215 $a1 online resource (XXXIII, 724 p. 73 illus.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 311 $a3-319-68529-5 330 $aMarking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aApproximation theory 606 $aFourier analysis 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aOptical data processing 606 $aComputer-aided engineering 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 606 $aComputer-Aided Engineering (CAD, CAE) and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/I23044 615 0$aApproximation theory. 615 0$aFourier analysis. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aOptical data processing. 615 0$aComputer-aided engineering. 615 14$aApproximations and Expansions. 615 24$aFourier Analysis. 615 24$aApplications of Mathematics. 615 24$aImage Processing and Computer Vision. 615 24$aComputer-Aided Engineering (CAD, CAE) and Design. 676 $a515.2433 700 $aHan$b Bin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767642 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910255456203321 996 $aFramelets and Wavelets$91563085 997 $aUNINA