Continuous wavelet transforms on $n$-dimensional spheres
Functional Analysis
2018-03-07 v1 Mathematical Physics
math.MP
Abstract
In this paper, we are concerned with -dimensional spherical wavelets derived from the theory of approximate identities. For nonzonal bilinear wavelets introduced by Ebert \emph{et al.} in 2009 we prove isometry and Euclidean limit property. Further, we develop a theory of linear wavelets. In the end, we discuss the relationship to other wavelet constructions.
Keywords
Cite
@article{arxiv.1803.02220,
title = {Continuous wavelet transforms on $n$-dimensional spheres},
author = {Ilona Iglewska-Nowak},
journal= {arXiv preprint arXiv:1803.02220},
year = {2018}
}
Comments
32 pages