On the Paley-Wiener theorem in the Mellin transform setting
Classical Analysis and ODEs
2015-09-29 v1 Functional Analysis
Abstract
In this paper we establish a version of the Paley-Wiener theorem of Fourier analysis in the frame of the Mellin transform. We provide two different proofs, one involving complex analysis arguments, namely the Riemann surface of the logarithm and Cauchy theorems, and the other one employing a Bernstein inequality here derived for Mellin derivatives.
Cite
@article{arxiv.1509.08235,
title = {On the Paley-Wiener theorem in the Mellin transform setting},
author = {Carlo Bardaro and Paul L. Butzer and Ilaria Mantellini and Gerhard Schmeisser},
journal= {arXiv preprint arXiv:1509.08235},
year = {2015}
}
Comments
18 pagine, 1 figura