Abstract
This chapter presents a theory of spherical harmonics from the viewpoint of invariant linear function spaces on the sphere. It is shown that the system of spherical harmonics is the only system of invariant function spaces that is both complete and closed, and cannot be reduced further.
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© 2012 Springer-Verlag Berlin Heidelberg
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Atkinson, K., Han, W. (2012). Spherical Harmonics. In: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Lecture Notes in Mathematics(), vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25983-8_2
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DOI: https://doi.org/10.1007/978-3-642-25983-8_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25982-1
Online ISBN: 978-3-642-25983-8
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