Logo

Spherical Harmonics in p Dimensions

Small book cover: Spherical Harmonics in p Dimensions

Spherical Harmonics in p Dimensions
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(790KB, PDF)

Similar books

Book cover: Lectures on Topics in Mean Periodic Functions and the Two-Radius TheoremLectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.
(7999 views)
Book cover: Lectures on Potential TheoryLectures on Potential Theory
by - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
(8319 views)
Book cover: Nonlinear Fourier AnalysisNonlinear Fourier Analysis
by - arXiv
The nonlinear Fourier transform is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series.
(8370 views)
Book cover: Lectures on Mean Periodic FunctionsLectures on Mean Periodic Functions
by - Tata Institute of Fundamental Research
Mean periodic functions are a generalization of periodic functions. The book considers questions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.
(8384 views)