An efficient spherical mapping algorithm and its application on spherical harmonics
β Scribed by Wan, ShengHua; Ye, TengFei; Li, MaoQing; Zhang, HongChao; Li, Xin
- Book ID
- 121625821
- Publisher
- Science in China Press (SCP)
- Year
- 2013
- Tongue
- English
- Weight
- 541 KB
- Volume
- 56
- Category
- Article
- ISSN
- 1674-733X
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π SIMILAR VOLUMES
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended
A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d β R d with spacing Ξ΄ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-HΓΆlder continuous, Ξ΄ β 0. These results are then applied to establish regularity