A continuous spherical wavelet transform for~\mathcal C(\mathcal Sⁿ)

2018/06/20 by Iglewska-Nowak, Ilona · 1 citation
#42B20 #42C40 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1806.07881

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.

Cited by

• Wavelet based solutions to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

Related

• A directional continuous wavelet transform on the sphere
• Wavelet methods in partial differential equations on spheres
• Spin weighted wavelets on the sphere
• A fast directional continuous spherical wavelet transform
• Wavelets, ridgelets and curvelets on the sphere