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.
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1395562
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