04987nam 22007215 450 001001700000005001700017010001800034024003000052035002600082035001700108035002400125035003400149035003200183035002500215035001900240035002300259035003200282035001900314035003000333100004000363101000800403135001800411181000800429182000600437183000700443200018300450205001800633210007800651215003100729225005600760300005200816311001900868320004100887327116900928330115602097410005603253606002503309606002203334606002203356606002103378606003003399606011003429606009803539606011603637615002603753615002303779615002303802615002203825615003103847615003503878615002303913615004103936676000803977676001003985676001003995676001204005702006804017702007304085906000904158912002104167996006704188997001004255991029999270332120200705212749.0 a3-319-08801-77 a10.1007/978-3-319-08801-3 a(CKB)3710000000271818 a(EBL)1967934 a(SSID)ssj0001386644 a(PQKBManifestationID)11755228 a(PQKBTitleCode)TC0001386644 a(PQKBWorkID)11374407 a(PQKB)11209040 a(MiAaPQ)EBC1967934 a(DE-He213)978-3-319-08801-3 a(PPN)183096584 a(EXLCZ)993710000000271818 a20141103d2014 u| 00 aeng aur|n|---||||| ctxt cc acr10aNew Perspectives on Approximation and Sampling Theoryb[electronic resource] eFestschrift in Honor of Paul Butzer's 85th Birthday /fedited by Ahmed I. Zayed, Gerhard Schmeisser a1st ed. 2014. 1aCham :cSpringer International Publishing :cImprint: Birkhäuser,d2014. a1 online resource (487 p.)1 aApplied and Numerical Harmonic Analysis,x2296-5009 aDescription based upon print version of record. a3-319-08800-9 aIncludes bibliographical references. 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. 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. 0aApplied and Numerical Harmonic Analysis,x2296-5009 aApproximation theory aSpecial functions aSignal processing aImage processing aSpeech processing systems aApproximations and Expansions3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 aSpecial Functions3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X aSignal, Image and Speech Processing3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 0aApproximation theory. 0aSpecial functions. 0aSignal processing. 0aImage processing. 0aSpeech processing systems.14aApproximations and Expansions.24aSpecial Functions.24aSignal, Image and Speech Processing. a510 a511.4 a515.5 a621.382 aZayedb Ahmed I4edt4http://id.loc.gov/vocabulary/relators/edt aSchmeisserb Gerhard4edt4http://id.loc.gov/vocabulary/relators/edt aBOOK a9910299992703321 aNew perspectives on approximation and sampling theory91409854 aUNINA