Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
Classical Analysis and ODEs
2016-02-16 v1
Abstract
We establish a necessary and sufficient condition on a continuous function on under which the family of functions on the unit sphere constructed in the described manner is fundamental in . In our construction of functions and proof of the result, we essentially use Dunkl harmonic analysis.
Cite
@article{arxiv.1602.04594,
title = {Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere},
author = {Roman Veprintsev},
journal= {arXiv preprint arXiv:1602.04594},
year = {2016}
}