组合图上的变分样条与Paley-Wiener空间
Variational Splines and Paley--Wiener Spaces on Combinatorial Graphs
摘要：
在组合图G上引入了插值变分样条和Paley-Wiener空间的概念。这两个定义都探讨了G上组合Laplace算子的存在性。证明了图上插值变分样条的存在唯一性。作为变分样条的一个应用，本文给出了由图上Paley-Wiener函数的唯一性集重构图上Paley-Wiener函数的一个算法。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
