Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by J. Delsarte
Publisher: Tata Institute of Fundamental Research 1961
Number of pages: 151
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 on the spherical mean for harmonic functions.
Download or read it online for free here:
by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by Christopher Frye, Costas J. Efthimiou - arXiv
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 physics or mathematics undergraduates.
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.
by M. Brelot - 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.