Mixed Needlets
Classical Analysis and ODEs
2013-03-12 v1 Cosmology and Nongalactic Astrophysics
Statistics Theory
Statistics Theory
Abstract
The construction of needlet-type wavelets on sections of the spin line bundles over the sphere has been recently addressed in Geller and Marinucci (2008), and Geller et al. (2008,2009). Here we focus on an alternative proposal for needlets on this spin line bundle, in which needlet coefficients arise from the usual, rather than the spin, spherical harmonics, as in the previous constructions. We label this system mixed needlets and investigate in full their properties, including localization, the exact tight frame characterization, reconstruction formula, decomposition of functional spaces, and asymptotic uncorrelation in the stochastic case. We outline astrophysical applications.
Keywords
Cite
@article{arxiv.1006.3835,
title = {Mixed Needlets},
author = {Daryl Geller and Domenico Marinucci},
journal= {arXiv preprint arXiv:1006.3835},
year = {2013}
}
Comments
26 pages