English

Nearly tight frames of spin wavelets on the sphere

Functional Analysis 2009-07-22 v3 Classical Analysis and ODEs

Abstract

We show that the spin wavelets on the sphere S2S^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 CC such that each frame element at scale aja^j is supported in a geodesic ball of radius CajCa^j.

Keywords

Cite

@article{arxiv.0907.3164,
  title  = {Nearly tight frames of spin wavelets on the sphere},
  author = {D. Geller and A. Mayeli},
  journal= {arXiv preprint arXiv:0907.3164},
  year   = {2009}
}
R2 v1 2026-06-21T13:26:21.163Z