Nearly tight frames of spin wavelets on the sphere

2009/07/17 by Daryl Geller, D. Geller, Geller, D. +3 · 1 citation
Earth and Planetary Sciences · Mathematics · #33C55 #42C40 (Primary) #58J05 #58J40 #83F05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques #math.CA #math.FA #msc:33C55 #msc:42C40 #msc:58J05 #msc:58J40 #msc:83F05

paper · pdf · doi:10.48550/arxiv.0907.3164

openalex publication_date 2009/07/17 · arxiv created 2009/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the spin wavelets on the sphere S², 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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• Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds

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