Approximating Continuous Functions with Scattered Translates of the Poisson Kernel

TL;DR

This paper demonstrates that continuous functions can be approximated effectively using scattered translates of the Poisson kernel, providing a new approach to function approximation.

Contribution

It introduces a novel method for approximating continuous functions through scattered translates of the Poisson kernel, expanding the tools available for approximation theory.

Findings

Continuous functions can be approximated using scattered Poisson kernels

The method provides a new approach to function approximation

Potential applications in harmonic analysis and PDEs

Abstract

The goal of this note is to show that continuous functions may be approximated using scattered translates of the Poisson kernel.