Variational Splines and Paley-Wiener Spaces on Combinatorial Graphs

被引：62
|
作者：
Pesenson, Isaac [1 ]
机构：
[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
CONSTRUCTIVE APPROXIMATION | 2009年 / 29卷 / 01期
关键词：
Combinatorial graph; Combinatorial Laplace operator; Variational splines; Paley-Wiener spaces; Interpolation; Approximation; Reconstruction; BAND-LIMITED FUNCTIONS; RECONSTRUCTION; CONVERGENCE;
D O I：
10.1007/s00365-007-9004-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 on G. 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.
引用
收藏
页码：1 / 21
页数：21
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