LEADER 05112nam 22007095 450 001 9910799488903321 005 20240320173028.0 010 $a3-031-41130-7 024 7 $a10.1007/978-3-031-41130-4 035 $a(CKB)29526901100041 035 $a(DE-He213)978-3-031-41130-4 035 $a(MiAaPQ)EBC31214935 035 $a(Au-PeEL)EBL31214935 035 $a(EXLCZ)9929526901100041 100 $a20240104d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSampling, Approximation, and Signal Analysis $eHarmonic Analysis in the Spirit of J. Rowland Higgins /$fedited by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (XXXIV, 558 p. 35 illus., 31 illus. in color.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5017 311 08$a9783031411298 327 $aPART I: Classical Sampling - Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin?Lebesgue norms (Schmeisser) -- Asymptotic theorems for Durrmeyer sampling operators with respect to the L-norm (Vinti) -- On generalized Shannon sampling operators in the cosine operator function framework (Kivinukk) -- Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis (Pesenson) -- The behavior of frequency band limited cardinal interpolants(Madych) -- The Balian-Low theorem for (Cq)-systems in shift-invariant spaces (owell) -- Whittaker - type derivative sampling and (p; q) - order weighted diffrential operator (Pogány) -- Shannon Sampling via Poisson, Cauchy, Jacobi and Levin (Casey) -- Part (II.) Theoretical Extensions - Schoenberg?s Theory of Totally Positive Functions and the Riemann Zeta Function (Gröchenig) -- Sampling via the Banach Gelfand Triple (Feichtinger) -- Part (III.) Frame Theory - A Survey of Fusion Frames in Hilbert Spaces (Köhldorfer) -- Frames of iterations and vector-valued model spaces (Cabrelli) -- A survey on frame representations and operator orbits (Christensen) -- Three proofs of the Benedetto?Fickus theorem (Mixon) -- Clifford Prolate SpheroidalWavefunctions and Associated Shift Frames (Lakey) -- Part (IV.) Applications - Power Aware Analog To Digital Converters (Mulleti) -- Quaternionic coupled fractional Fourier transform on Boehmians (Zayed) -- Sampling : Theory and Applications ? A History of the SampTA Meetings (Casey) -- Accelerartion Algorithms for Iterative Methods (Marvasti). 330 $aDuring his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings ? of which he was a Founding Member ? is also included. The remaining articles are grouped into four sections ? classical sampling, theoretical extensions, frame theory, and applications of sampling theory ? and explore Higgins? contributions to these areas, as well as some of the latest developments. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5017 606 $aApproximation theory 606 $aHarmonic analysis 606 $aFourier analysis 606 $aSignal processing 606 $aApproximations and Expansions 606 $aAbstract Harmonic Analysis 606 $aFourier Analysis 606 $aSignal, Speech and Image Processing 606 $aMostreig (Estadística)$2thub 606 $aEstadística matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aApproximation theory. 615 0$aHarmonic analysis. 615 0$aFourier analysis. 615 0$aSignal processing. 615 14$aApproximations and Expansions. 615 24$aAbstract Harmonic Analysis. 615 24$aFourier Analysis. 615 24$aSignal, Speech and Image Processing . 615 7$aMostreig (Estadística) 615 7$aEstadística matemàtica 676 $a511.4 702 $aCasey$b Stephen D$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDodson$b M. Maurice$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFerreira$b Paulo J. S. G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZayed$b Ahmed$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910799488903321 996 $aSampling, Approximation, and Signal Analysis$93876532 997 $aUNINA