Fast spin \(\pm \)2 spherical harmonics transforms and application in cosmology

DOI10.1016/j.jcp.2007.07.005zbMath1255.33007arXivastro-ph/0508514OpenAlexW2167127805MaRDI QIDQ2458631

Y. Wiaux, Pierre Vandergheynst, Laurent Jacques

Publication date: 1 November 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/0508514

zbMATH Keywords

computational methodscosmologydata analysiscosmic microwave background

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Harmonic analysis and spherical functions (43A90) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Nontrigonometric harmonic analysis (42C99) Numerical approximation and evaluation of special functions (33F05) Astrophysical cosmology (85A40)

Related Items (7)

Localisation of directional scale-discretised wavelets on the sphere ⋮ A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator ⋮ Mixed needlets ⋮ Spin needlets spectral estimation ⋮ Adaptive nonparametric regression on spin fiber bundles ⋮ Spin spherical harmonics from Hopf fibration: a symplectic view ⋮ Needlets Estimation in Cosmology and Astrophysics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing Fourier transforms and convolutions on the 2-sphere
• FFTs for the 2-sphere-improvements and variations
• Towards safe and effective high-order Legendre transforms with applications to FFTs for the 2-sphere
• Computational harmonic analysis for tensor fields on the two-sphere
• GAUSS–LEGENDRE SKY PIXELIZATION (GLESP) FOR CMB MAPS
• Spin-s Spherical Harmonics and ð
• Group-Theoretic Approach to the New Conserved Quantities in General Relativity
• Separation of variables and the computation of Fourier transforms on finite groups, I

This page was built for publication: Fast spin \(\pm \)2 spherical harmonics transforms and application in cosmology