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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…
Multivariate semi-discrete sampling type operators: pointwise approximation properties
Carlo Bardaro, Ilaria Mantellini
In this paper multivariate extension of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally…
Mellin Analysis and its distance concept. Applications to sampling theory
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
In this paper a notion of functional "distance" in the Mellin transform setting is introduced and a general representation formula is obtained for it. Also, a determination of the…