Mellin Analysis and its distance concept. Applications to sampling theory
Functional Analysis
2016-03-15 v1
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.
Keywords
Cite
@article{arxiv.1603.04202,
title = {Mellin Analysis and its distance concept. Applications to sampling theory},
author = {Carlo Bardaro and Paul L. Butzer and Ilaria Mantellini and Gerhard Schmeisser},
journal= {arXiv preprint arXiv:1603.04202},
year = {2016}
}
Comments
24 pages; 1 figure