Here we give a new approach to the Paley-Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surfaces of the logarithm and analytical branches and it is based on new concepts of polar analytic function in the Mellin setting and Mellin-Bernstein spaces. a notion of Hardy spaces in the Mellin setting is also given along with applications to exponential sampling formulas of optical physics.
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces
Carlo Bardaro;Ilaria Mantellini;
2017
Abstract
Here we give a new approach to the Paley-Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surfaces of the logarithm and analytical branches and it is based on new concepts of polar analytic function in the Mellin setting and Mellin-Bernstein spaces. a notion of Hardy spaces in the Mellin setting is also given along with applications to exponential sampling formulas of optical physics.File in questo prodotto:
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