2 citations · 3 across the 9 of their papers we have counts for
12 papers
The EPR Paradox of Quantum Mechanics in the Light of Four Unpublished Letters between A. Einstein and the Mathematician J. L. B. Cooper
P. L. Butzer, D. E. Edmunds, G. Roepstorff +2
This paper presents correspondence between Albert Einstein and the mathematical analyst J. L. B. Cooper on the Einstein-Podolsky-Rosen (EPR) paradox of quantum theory published in…
A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
In this paper, we continue the study of the polar analytic functions, a notion introduced in \cite{BBMS1} and successfully applied in Mellin analysis. Here we obtain another versio…
The Third Boundary Value Problem of Potential Theory for the Exterior Ball and the Approximation behaviour of the solution; a Novel Open Problem
P. L. Butzer, R. L. Stens
The paper is concerned with the interconnection of the boundary behaviour of the solutions of the exterior Dirichlet and Neumann problems of harmonic analysis for the three-dimensi…
Development of a complex function theory upon a new concept of polar-analytic functions; Extended version
Carlo Bardaro, Paul. L. Butzer, Ilaria Mantellini +1
The present article is an extended version of [6] containing new results and an updated list of references. We review the notion of polar analyticity introduced in a previous paper…
Quadrature formulae for the positive real axis in the setting of Mellin analysis: Sharp error estimates in terms of the Mellin distance
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
The general Poisson summation formula of Mellin analysis can be considered as a quadrature formula for the positive real axis with remainder. For Mellin bandlimited functions it be…
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
Here we give a new approach to the Paley--Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surface of the logarithm and analytical branches and is ba…