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200 10$aNew Perspectives on Approximation and Sampling Theory$b[electronic resource] $eFestschrift in Honor of Paul Butzer's 85th Birthday /$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