**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

**Real Harmonic Analysis**

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.

(

**6103**views)

**Contributions to Fourier Analysis**

by

**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.

(

**7887**views)

**Nonlinear Fourier Analysis**

by

**Terence Tao, Christoph Thiele**-

**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.

(

**9502**views)

**Chebyshev and Fourier Spectral Methods**

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.

(

**19756**views)