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An efficient spherical mapping algorithm and its application on spherical harmonics

✍ 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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πŸ“œ SIMILAR VOLUMES


[Lecture Notes in Mathematics] Spherical
✍ Atkinson, Kendall; Han, Weimin πŸ“‚ Article πŸ“… 2012 πŸ› Springer Berlin Heidelberg 🌐 German βš– 701 KB

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

On the Regularity of Harmonic Functions
✍ Lawrence E. Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d βŠ‚ 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