A continuous spherical wavelet transform for~$\mathcal{C}({\mathcal{S}}^n)$

Abstract

In the present paper, a wavelet family over the $n$-dimensional sphere is constructed such that for each scale the wavelet is a polynomial and the inverse wavelet transform of a continuous function converges in the supremum norm.

arXiv comment8 pages

References in corpus (1)

• Continuous wavelet transforms on $n$-dimensional spheres