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math.FA2017★ 1 cited
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…
math.FA2016
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…