3 papers
math.AP2019
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…
math.CA2016
Sobolev Spaces of Fractional Order, Lipschitz Spaces, Readapted Modulation Spaces and Their Interrelations; Applications
Paul L. Butzer, Gerhard Schmeisser, Rudolf L. Stens
The purpose of this investigation is to extend basic equations and inequalities which hold for functions in a Bernstein space to larger spaces by adding a remainder ter…
math.NA2016
The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae
Paul L. Butzer, Gerhard Schmeisser, Rudolf L. Stens
The general Poisson summation formula of harmonic analysis and analytic number theory can be regarded as a quadrature formula with remainder. The purpose of this investigation is t…