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math.NA2018
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…
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…