On the Convergence of Regular Families of Cardinal Interpolators

Abstract

In this note a general way to develop a cardinal interpolant for $l^2$-data on the integer lattice $Z^n$ is shown. Further, a parameter is introduced which allows one to recover the original Paley-Weiner function from which the data came.

16 pages

Cited by in corpus (6)

• Cardinal Interpolation With General Multiquadrics
• Regular Families of Kernels for Nonlinear Approximation
• Cardinal Interpolation With General Multiquadrics: Convergence Rates
• Convergence properties of spline-like cardinal interpolation operators acting on $l^p$ data
• Recovering functions from the modulation spaces $\mathcal{F}W$
• On regular families of cardinal interpolators and multiresolution analyses