A retrospective on 60 years of approximation theory and associated fields

DOI10.1016/j.jat.2009.05.004zbMath1194.41002OpenAlexW2001580989MaRDI QIDQ1041615

Paul L. Butzer

Publication date: 3 December 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.05.004

zbMATH Keywords

approximation theorysignal processinghistory of mathematicsapplications of functional analysis

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of approximations and expansions (41-03)

Related Items

A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife, Necessary and Sufficient Conditions for the Uniform on a Segment Sinc-approximations Functions of Bounded Variation, Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes, The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville, On some properties of sinc approximations of continuous functions on the interval, Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class, Fifty years of Schoenberg's problem on the convergence of spline interpolation, On necessary and sufficient conditions for convergence of sinc-approximations, A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe

Cites Work

• Anniversary volume on approximation theory and functional analysis. (Proceedings of the international Conference on Approximation Theory and Functional Analysis held at the Oberwolfach Mathematical Research Institute from July 30 to August 6, 1983)
• Eduard Helly (1884-1943), in memoriam
• Otto Blumenthal (1876--1944) in retrospect
• Herbert Raabe's work in multiplex signal transmission and his development of sampling methods
• The sampling theorem and linear prediction in signal analysis
• P. L. Chebyshev (1821-1894) and his contacts with Western European scientists
• A unified approach to certain counterexamples in approximation theory in connection with a uniform boundedness principle with rates
• An appreciation of Paul Butzer's work in signal theory
• Paul L. Butzer -- five years as Professor Emeritus
• P. L. Chebyshev (1821-1894). A guide to his life and work
• Memories to early years: On the 70th birthday of Paul Leo Butzer
• A direct approach to the Mellin transform
• Some new functional spaces
• Central factorial numbers; their main properties and some applications.
• Subadditive mean ergodic theorems
• The Biographical Encyclopedia of Astronomers
• George G. Lorentz (1910-2006)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item