ENGLISH

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

By Atkinson , Kendall E;Han , Weimin

Book information

Publisher
Springer Berlin Heidelberg
Year
2012
ISBN
9783642259821, 9783642259838, 3642259820, 3642259839
ISSN
0075-8434
Language
english
Format
PDF
Filesize
3 MB (2960775 bytes)
Series
Lecture Notes in Mathematics 2044
Edition
2012
Pages
244\253
Time added
2020-11-29 04:10:29

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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