Polyhyperbolic Cardinal Splines

Abstract

In this note we discuss solutions of differential equation $(D^2-{\alpha }^2{)}^{k}u=0$ on $\mathbb{R}\setminus \mathbb{Z}$, which we call hyperbolic splines. We develop the fundamental function of interpolation and prove various properties related to these splines.

arXiv commentabout 7 pages