Logo

Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem

Small book cover: Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem

Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: B0007J92RQ
Number of pages: 151

Description:
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:
Download link
(680KB, PDF)

Similar books

Book cover: Harmonic AnalysisHarmonic Analysis
by - 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 TheoryLinear Partial Differential Equations and Fourier Theory
by - 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.
(28964 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.
(9411 views)
Book cover: Chebyshev and Fourier Spectral MethodsChebyshev and Fourier Spectral Methods
by - 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.
(19605 views)