05112nam 22007095 450 991079948890332120240320173028.03-031-41130-710.1007/978-3-031-41130-4(CKB)29526901100041(DE-He213)978-3-031-41130-4(MiAaPQ)EBC31214935(Au-PeEL)EBL31214935(EXLCZ)992952690110004120240104d2023 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSampling, Approximation, and Signal Analysis Harmonic Analysis in the Spirit of J. Rowland Higgins /edited by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed1st ed. 2023.Cham :Springer International Publishing :Imprint: Birkhäuser,2023.1 online resource (XXXIV, 558 p. 35 illus., 31 illus. in color.)Applied and Numerical Harmonic Analysis,2296-50179783031411298 PART 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).During 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.Applied and Numerical Harmonic Analysis,2296-5017Approximation theoryHarmonic analysisFourier analysisSignal processingApproximations and ExpansionsAbstract Harmonic AnalysisFourier AnalysisSignal, Speech and Image Processing Mostreig (Estadística)thubEstadística matemàticathubLlibres electrònicsthubApproximation theory.Harmonic analysis.Fourier analysis.Signal processing.Approximations and Expansions.Abstract Harmonic Analysis.Fourier Analysis.Signal, Speech and Image Processing .Mostreig (Estadística)Estadística matemàtica511.4Casey Stephen Dedthttp://id.loc.gov/vocabulary/relators/edtDodson M. Mauriceedthttp://id.loc.gov/vocabulary/relators/edtFerreira Paulo J. S. Gedthttp://id.loc.gov/vocabulary/relators/edtZayed Ahmededthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910799488903321Sampling, Approximation, and Signal Analysis3876532UNINA