Semi-continuous and discrete wavelet frames on $n$-dimensional spheres
Classical Analysis and ODEs
2018-03-09 v1 Mathematical Physics
math.MP
Abstract
The paper shows that under some mild conditions -dimensional spherical wavelets derived from approximate identities build semi-continuous frames. Moreover, for sufficiently dense grids Poisson wavelets on -dimensional spheres constitute a discrete frame. In the proof we only use the localization properties of the reproducing kernel and its gradient.
Cite
@article{arxiv.1803.03119,
title = {Semi-continuous and discrete wavelet frames on $n$-dimensional spheres},
author = {Ilona Iglewska-Nowak},
journal= {arXiv preprint arXiv:1803.03119},
year = {2018}
}
Comments
28 pages