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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-25983-8_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25982-1
Online ISBN: 978-3-642-25983-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)