Differentiation and Integration over the Sphere

Book chapter

Peer reviewed

Kendall Atkinson and Weimin Han

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.87-130

Lecture Notes in Mathematics, Springer Berlin Heidelberg

01/10/2012

DOI: 10.1007/978-3-642-25983-8_3

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In this chapter, we discuss some properties and formulas for differentiation and integration involving spherical harmonics.

Funk Hecke Formula

Integral Identity

Laplace-Beltrami Operator

Positive Definite Function

Spherical Harmonics

Title: Subtitle: Differentiation and Integration over the Sphere
Creators: Kendall Atkinson - University of Iowa
Weimin Han - University of Iowa
Resource Type: Book chapter
Publication Details: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.87-130
Series: Lecture Notes in Mathematics
DOI: 10.1007/978-3-642-25983-8_3
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: 9984241045102771

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