Explicit localization estimates for spline-type spaces

TL;DR

This paper derives explicit decay estimates for the dual basis functions in spline-type spaces, enhancing understanding of their spatial localization properties.

Contribution

It provides new explicit decay estimates for dual systems of polynomially localized basis functions in spline-type spaces.

Findings

Explicit decay estimates for dual basis functions

Improved understanding of spatial localization in spline spaces

Potential applications in signal processing and approximation theory

Abstract

In this article we derive some explicit decay estimates for the dual system of a basis of functions polynomially localized in space.