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arXiv · 1803.03119

Semi-continuous and discrete wavelet frames on $n$-dimensional spheres

Ilona Iglewska-Nowak
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Abstract

The paper shows that under some mild conditions $n$-dimensional spherical wavelets derived from approximate identities build semi-continuous frames. Moreover, for sufficiently dense grids Poisson wavelets on $n$-dimensional spheres constitute a discrete frame. In the proof we only use the localization properties of the reproducing kernel and its gradient.

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BibTeXRIS

Ilona Iglewska-Nowak. 2018-03-05. Semi-continuous and discrete wavelet frames on $n$-dimensional spheres. https://doi.org/10.1016/j.acha.2015.03.010

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