Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by J. Delsarte
Publisher: Tata Institute of Fundamental Research 1961
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
Lectures on Mean Periodic Functionsby J.P. Kahane - 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.
(9181 views)
Contributions to Fourier Analysisby A. Zygmund, et al. - Princeton University Press
In the theory of convergence and summability, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.
(7558 views)
Notes on Harmonic Analysisby George Benthien
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.
(11108 views)
Lectures on Potential Theoryby 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.
(9188 views)