Spherical Harmonics in p Dimensions
by Christopher Frye, Costas J. Efthimiou
Publisher: arXiv 2012
Number of pages: 95
Description:
The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before beginning the main subject matter.
Download or read it online for free here:
Download link
(790KB, PDF)
Similar books
![Book cover: Harmonic Analysis](images/7187.jpg)
by S.R.S. Varadhan - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(10400 views)
![Book cover: Linear Partial Differential Equations and Fourier Theory](images/121.jpg)
by Marcus Pivato - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
(28963 views)
![Book cover: Lectures on Harmonic Analysis](images/7212.jpg)
by Thomas Wolff - American Mathematical Society
An inside look at the techniques used and developed by the author. The book is based on a graduate course on Fourier analysis he taught at Caltech. It demonstrates how harmonic analysis can provide penetrating insights into deep aspects of analysis.
(11187 views)
![Book cover: Real Harmonic Analysis](images/11965.jpg)
by Pascal Auscher, Lashi Bandara - ANU eView
This book presents the material covered in graduate lectures delivered in 2010. Moving from the classical periodic setting to the real line, then to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.
(5980 views)