Spherical Harmonics

Kendall Atkinson; Weimin Han

doi:10.1007/978-3-642-25983-8_2

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Spherical Harmonics

Kendall Atkinson and Weimin Han

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.11-86

Lecture Notes in Mathematics, Springer Berlin Heidelberg

01/10/2012

DOI: 10.1007/978-3-642-25983-8_2

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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.

Fourier-Laplace Series

Homogeneous Harmonic

Integral Representation Formula

Poisson Identity

Spherical Harmonics

Details

Title: Subtitle: Spherical Harmonics
Creators: Kendall Atkinson
Weimin Han
Resource Type: Book chapter
Publication Details: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.11-86
Series: Lecture Notes in Mathematics
DOI: 10.1007/978-3-642-25983-8_2
eISSN: 1617-9692
ISSN: 0075-8434
Publisher: Springer Berlin Heidelberg; Berlin, Heidelberg
Language: English
Date published: 01/10/2012
Academic Unit: Computer Science; Mathematics
Record Identifier: 9984240774102771

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