TY  - BOOK
AU  - Atkinson,Kendall
AU  - Han,Weimin
ED  - SpringerLink (Online service)
TI  - Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
T2  - Lecture Notes in Mathematics,
SN  - 9783642259838
AV  - QA297-299.4 
U1  - 518 23
PY  - 2012///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Integral equations
KW  - Differential equations, partial
KW  - Functions, special
KW  - Numerical analysis
KW  - Physics
KW  - Numerical Analysis
KW  - Special Functions
KW  - Approximations and Expansions
KW  - Integral Equations
KW  - Partial Differential Equations
KW  - Physics, general
N1  - 1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods
N2  - These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions
UR  - http://dx.doi.org/10.1007/978-3-642-25983-8
ER  -