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 distance is given in terms of Lipschitz classes and Mellin-Sobolev spaces. Finally applications to approximate versions of certain basic relations valid for Mellin band-limited functions are studied in details.
Mellin Analysis and its basic associated metric- Applications to sampling theory
BARDARO, Carlo;MANTELLINI, Ilaria;
2016
Abstract
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 distance is given in terms of Lipschitz classes and Mellin-Sobolev spaces. Finally applications to approximate versions of certain basic relations valid for Mellin band-limited functions are studied in details.File in questo prodotto:
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