ENGLISH

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

By Kendall Atkinson , Weimin Han (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
3642259820, 9783642259821
DOI
10.1007/978-3-642-25983-8
Language
english
Format
PDF
Filesize
3 MB (3113201 bytes)
Series
Lecture Notes in Mathematics 2044
Edition
1
Pages
244\253
Orientation
no
Scanned
no
Time added
2012-06-27 22:33:52
generalNumerical Analysis;Special Functions;Approximation

Description

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.

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