Download PDF by Kendall Atkinson,Weimin Han: Spherical Harmonics and Approximations on the Unit Sphere:

By Kendall Atkinson,Weimin Han

those notes offer an advent to the idea of round harmonics in an arbitrary measurement in addition as
an evaluation of classical and up to date effects on a few features of the approximation of capabilities via round polynomials and numerical integration over the unit sphere. The notes are meant for graduate scholars within the mathematical sciences and researchers who're attracted to fixing difficulties regarding partial differential and vital equations at the unit sphere, specifically at the unit sphere in 3-dimensional Euclidean house. a few similar paintings for approximation at the unit disk within the aircraft is additionally in brief mentioned, with effects being generalizable to the unit ball in additional dimensions.

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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction (Lecture Notes in Mathematics) by Kendall Atkinson,Weimin Han

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