Band-limited wavelets beyond Gevrey regularity
Functional Analysis
2024-02-27 v1
Abstract
It is known that a smooth function of exponential decay at infinity can not be an orthonormal wavelet. Dziuba\'nski and Hern\'andez constructed smooth orthonormal wavelets of Gevrey type subexponential decay. We weaken the Gevrey type decay and construct orthonormal wavelets of subexponential decay related to the so-called extended Gevrey classes. The virtue of our construction is that prescise asymptotics of functions from such classes can be given in terms of the Lambert function.
Keywords
Cite
@article{arxiv.2402.16426,
title = {Band-limited wavelets beyond Gevrey regularity},
author = {Nenad Teofanov and Filip Tomić and Stefan Tutić},
journal= {arXiv preprint arXiv:2402.16426},
year = {2024}
}