LEADER 04960nam 22007215 450 001 9910299992703321 005 20200705212749.0 010 $a3-319-08801-7 024 7 $a10.1007/978-3-319-08801-3 035 $a(CKB)3710000000271818 035 $a(EBL)1967934 035 $a(SSID)ssj0001386644 035 $a(PQKBManifestationID)11755228 035 $a(PQKBTitleCode)TC0001386644 035 $a(PQKBWorkID)11374407 035 $a(PQKB)11209040 035 $a(MiAaPQ)EBC1967934 035 $a(DE-He213)978-3-319-08801-3 035 $a(PPN)183096584 035 $a(EXLCZ)993710000000271818 100 $a20141103d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNew Perspectives on Approximation and Sampling Theory $eFestschrift in Honor of Paul Butzer's 85th Birthday /$fedited by Ahmed I. Zayed, Gerhard Schmeisser 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (487 p.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 300 $aDescription based upon print version of record. 311 $a3-319-08800-9 320 $aIncludes bibliographical references. 327 $aAbstract Exact and Approximate Sampling Theorems -- Sampling in Reproducing Kernel Hilbert Space -- Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds -- On Window Methods in Generalized Shannon Sampling Operators -- Generalized sampling approximation for multivariate discontinuous signals and applications to image processing -- Signal and System Approximation from General Measurements -- Confirmation PROCESS -- Sparse Signal Processing -- Signal Sampling and Testing Under Noise -- Superoscillations -- General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators -- Variation and approximation in multidimensional setting for Mellin integral operators -- The Lebesgue Constant for Sinc Approximations -- Six (Seven) problems in frame theory -- Five good reasons for complex-valued transforms in image processing -- Frequency Determination Using the Discrete Hermite Transform -- Fractional Operators, Dirichlet Averages and Splines -- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups -- On a discrete Turán problem for l-1 radial functions. 330 $aPaul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer?s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aApproximation theory 606 $aSpecial functions 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 615 0$aApproximation theory. 615 0$aSpecial functions. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 14$aApproximations and Expansions. 615 24$aSpecial Functions. 615 24$aSignal, Image and Speech Processing. 676 $a510 676 $a511.4 676 $a515.5 676 $a621.382 702 $aZayed$b Ahmed I$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchmeisser$b Gerhard$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299992703321 996 $aNew perspectives on approximation and sampling theory$91409854 997 $aUNINA