Mellin Analysis and its distance concept. Applications to sampling theory
classification
🧮 math.FA
keywords
distancemellinapplicationsanalysisapproximateband-limitedbasiccertain
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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.
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