A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife

DOI10.1007/s43670-022-00034-6OpenAlexW4296121631MaRDI QIDQ2675195

Rudolf L. Stens, Paul L. Butzer

Publication date: 20 September 2022

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43670-022-00034-6

zbMATH Keywords

relations and connection with European mathematiciansRWTH Achen

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Proceedings, conferences, collections, etc. pertaining to history and biography (01-06) History of mathematics at specific universities (01A73) Sociology (and profession) of mathematics (01A80)

Related Items (1)

The Butzer-Kozakiewicz article on Riemann derivatives of 1954 and its influence

Cites Work

• Mellin analysis and its basic associated metric -- applications to sampling theory
• On strict inclusion relations between approximation and interpolation spaces
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• Recent history of fractional calculus
• The foundations of fractional calculus in the Mellin transform setting with applications
• A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe
• A retrospective on 60 years of approximation theory and associated fields
• Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces
• Approximation-theoretic aspects of probabilistic representations for operator semigroups
• The sampling theorem and linear prediction in signal analysis
• A probabilistic approach to representation formulae for semigroups of operators with rates of convergence
• Bernoulli numbers and polynomials of arbitrary complex indices
• On the rate of approximation in the central limit theorem
• The operational properties of the Chebyshev transform. I: General properties
• Memories to early years: On the 70th birthday of Paul Leo Butzer
• Triple sums and the Riemann zeta function
• A direct approach to the Mellin transform
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance
• A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces
• Dieter Gaier (1928-2002) in memoriam
• Stirling numbers, central factorial numbers, and representations of the Riemann zeta function
• Sampling theorems for stochastic signals. Appraisal of Paul L. Butzer's work
• A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\)
• New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer's 85th birthday
• In memoriam: Hubert A. Berens (1936--2015)
• On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
• The Mellin–Parseval formula and its interconnections with the exponential sampling theorem of optical physics
• Some pioneers of the applications of fractional calculus
• A fresh approach to classical Eisenstein series and the newer Hilbert–Eisenstein series
• Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions
• Some general probabilistic estimations for the rate of convergence in operator semigroup representations
• Central factorial numbers; their main properties and some applications.
• Weax convergence of probability reasures in C_b(C[0,1) equipped with rates]
• Asymptotic expansions for central limit theorems for general linear stochastic processes. I: General theorems on rates of convergence
• Asymptotic expansions for central limit theorems for general linear stochastic processes. II: Models of the general random noise and pulse train processes
• On the Approximation of Random Processes by Convolution Processes
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Saturation classes of the Cesàro and Abel-Poisson means of Fourier-Legendre series
• A Quadrature Formula for Entire Functions of Exponential Type
• Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus
• Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives
• A self-contained approach to mellin transform analysis for square integrable functions; applications
• A fresh approach to the Paley–Wiener theorem for Mellin transforms and the Mellin–Hardy spaces
• Mathematical Analysis, Wavelets, and Signal Processing
• Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections
• Development of a new concept of polar analytic functions useful in Mellin analysis
• History of Banach Spaces and Linear Operators
• Stirling functions of first kind in the setting of fractional calculus and generalized differences
• Representation of fractional powers of infinitesimal generators of semigroups
• Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. Volume 1. Foundations. A monograph based on articles of the founding authors, reproduced in full. Edited by Radomir S. Stanković, Paul L. Butzer, Ferenc Schipp and William R. Wade
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