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Sampling, approximation, and signal analysis = harmonic analysis in the spirit of J. Rowland Higgins /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Sampling, approximation, and signal analysis/ edited by Stephen D. Casey ... [et al.].
Reminder of title:	harmonic analysis in the spirit of J. Rowland Higgins /
other author:	Casey, Stephen D.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxxiv, 558 p. :ill. (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Sampling (Statistics) -
Online resource:	https://doi.org/10.1007/978-3-031-41130-4
ISBN:	9783031411304

Sampling, approximation, and signal analysis = harmonic analysis in the spirit of J. Rowland Higgins /
Sampling, approximation, and signal analysisharmonic analysis in the spirit of J. Rowland Higgins /[electronic resource] :edited by Stephen D. Casey ... [et al.]. - Cham :Springer International Publishing :2023. - xxxiv, 558 p. :ill. (chiefly color), digital ;24 cm. - Applied and numerical harmonic analysis,2296-5017. - Applied and numerical harmonic analysis..

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.

ISBN: 9783031411304

Standard No.: 10.1007/978-3-031-41130-4doiSubjects--Topical Terms:

527722
Sampling (Statistics)

LC Class. No.: QA276.6

Dewey Class. No.: 519.52

Sampling, approximation, and signal analysis = harmonic analysis in the spirit of J. Rowland Higgins /
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505 0 $a 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)
520 $a 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.
650 0 $a Sampling (Statistics) $3 527722
650 0 $a Approximation theory. $3 527707
650 0 $a Harmonic analysis. $3 672073
650 1 4 $a Approximations and Expansions. $3 672153
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Fourier Analysis. $3 672627
650 2 4 $a Signal, Speech and Image Processing. $3 1414819
700 1 $a Casey, Stephen D. $e editor. $3 1324039
700 1 $a Higgins, J. R. $3 1435772
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Applied and numerical harmonic analysis. $3 881315
856 4 0 $u https://doi.org/10.1007/978-3-031-41130-4
950 $a Mathematics and Statistics (SpringerNature-11649)