Variational Splines and Paley--Wiener Spaces on Combinatorial Graphs
Information Theory
2011-11-28 v1 math.IT
Abstract
Notions of interpolating variational splines and Paley-Wiener spaces are introduced on a combinatorial graph G. Both of these definitions explore existence of a combinatorial Laplace operator onG. The existence and uniqueness of interpolating variational splines on a graph is shown. As an application of variational splines, the paper presents a reconstruction algorithm of Paley-Wiener functions on graphs from their uniqueness sets.
Cite
@article{arxiv.1111.5897,
title = {Variational Splines and Paley--Wiener Spaces on Combinatorial Graphs},
author = {Isaac Pesenson},
journal= {arXiv preprint arXiv:1111.5897},
year = {2011}
}