Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers

DOI10.1007/s00041-010-9131-8zbMath1213.94027OpenAlexW2106192054MaRDI QIDQ532496

J. R. Higgins, Rudolf L. Stens, Paul L. Butzer, Gerhard Schmeisser, Saburou Saitoh, Paulo Jorge S. G. Ferreira

Publication date: 5 May 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9131-8

zbMATH Keywords

interpolationsampling theoremJapanese mathematics historysampling techniques in engineering

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) History of information and communication theory (94-03) Research exposition (monographs, survey articles) pertaining to history and biography (01-02) Sampling theory in information and communication theory (94A20) History of Japanese mathematics (01A27)

Related Items (14)

Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ Convergence and Regularization of Sampling Series ⋮ A Fourier error analysis for radial basis functions and the discrete singular convolution on an infinite uniform grid. I: Error theorem and diffusion in Fourier space ⋮ A criterion of sampling theorems on Banach function spaces ⋮ On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ Real analysis without using the Hardy–Littlewood maximal operator ⋮ Sampling Theory in a Fourier Algebra Setting ⋮ Sampling in a weighted Sobolev space ⋮ Herbert Raabe's work in multiplex signal transmission and his development of sampling methods ⋮ System Approximations and Generalized Measurements in Modern Sampling Theory ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe ⋮ Signal and System Approximation from General Measurements ⋮ Superoscillations ⋮ Strong divergence for system approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Writing the history of mathematics. Its historical development
• Herbert Raabe's work in multiplex signal transmission and his development of sampling methods
• Teiji Takagi, founder of the Japanese school of modern mathematics
• The sampling theorem and linear prediction in signal analysis
• Summation formulas and band-limited signals
• Obituary note: Matsusaburo Fujiwara (1881--1946)
• Obituary note: Tadahiko Kubota (1885--1952)
• Five short stories about the cardinal series
• Karl Küpfmüller: a German contributor to the early development of linear systems theory
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• Fifty years of Shannon theory
• COMPLEX FOURIER--BESSEL TRANSFORMS

This page was built for publication: Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers