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＜電子ブック＞
Sampling, 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 Zayed
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XXXIV, 558 p. 35 illus., 31 illus. in color : online resource
著者標目	Casey, Stephen D editor Dodson, M. Maurice editor Ferreira, Paulo J. S. G editor Zayed, Ahmed editor SpringerLink (Online service)
件　名	LCSH:Approximation theory LCSH:Harmonic analysis LCSH:Fourier analysis LCSH:Signal processing FREE:Approximations and Expansions FREE:Abstract Harmonic Analysis FREE:Fourier Analysis FREE:Signal, Speech and Image Processing
一般注記	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 FusionFrames 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 HTTP:URL=https://doi.org/10.1007/978-3-031-41130-4

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