Fast spin +-2 spherical harmonics transforms and application in cosmology
摘要
A fast and exact algorithm is developed for the spin +-2 spherical harmonics transforms on equi-angular pixelizations on the sphere. It is based on the Driscoll and Healy fast scalar spherical harmonics transform. The theoretical exactness of the transform relies on a sampling theorem. The associated asymptotic complexity is of order O(L^2 log^2_2(L)), where 2L stands for the square-root of the number of sampling points on the sphere, also setting a band limit L for the spin +-2 functions considered. The algorithm is presented as an alternative to existing fast algorithms with an asymptotic complexity of order O(L^3) on other pixelizations. We also illustrate these generic developments through their application in cosmology, for the analysis of the cosmic microwave background (CMB) polarization data.
引用
@article{arxiv.astro-ph/0508514,
title = {Fast spin +-2 spherical harmonics transforms and application in cosmology},
author = {Y. Wiaux and L. Jacques and P. Vandergheynst},
journal= {arXiv preprint arXiv:astro-ph/0508514},
year = {2008}
}
备注
20 pages, 2 figures. Version accepted for publication in J. Comput. Phys.