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arXiv · 1603.04202

Mellin Analysis and its distance concept. Applications to sampling theory

Carlo Bardaro·Paul L. Butzer·Ilaria Mantellini·Gerhard Schmeisser
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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.

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Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini, Gerhard Schmeisser. 2016-03-14. Mellin Analysis and its distance concept. Applications to sampling theory. https://arxiv.org/abs/1603.04202

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