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arXiv · 0907.3164

Nearly tight frames of spin wavelets on the sphere

D. Geller·A. Mayeli
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Abstract

We show that the spin wavelets on the sphere $S^2$, which were constructed by the first author and Marinucci in an earlier article, can be chosen so as to form a nearly tight frame. These spin wavelets can be applied to the study of the polarization of cosmic microwave background radiation. For certain of these frames, there is a positive $C$ such that each frame element at scale $a^j$ is supported in a geodesic ball of radius $Ca^j$.

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D. Geller, A. Mayeli. 2009-07-22. Nearly tight frames of spin wavelets on the sphere. https://arxiv.org/abs/0907.3164

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