Computational Harmonic Analysis for Tensor Fields on the Two-Sphere

@article{Kostelec2000ComputationalHA,
  title={Computational Harmonic Analysis for Tensor Fields on the Two-Sphere},
  author={Peter J. Kostelec and David Keith Maslen and Dennis M. Healy and Daniel N. Rockmore},
  journal={Journal of Computational Physics},
  year={2000},
  volume={162},
  pages={514-535}
}
In this paper we describe algorithms for the numerical computation of Fourier transforms of tensor fields on the two-sphere, S2. These algorithms reduce the computation of an expansion on tensor spherical harmonics to expansions in scalar spherical harmonics, and hence can take advantage of recent improvements in the efficiency of computation of scalar spherical harmonic transforms. 

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