Variational Splines and Paley–Wiener Spaces on Combinatorial Graphs

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 applicati...

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Bibliographic Details
Published in:Constructive Approximation, Vol. 29, No. 1 (2009), p. 1-21
Main Author: Pesenson, Isaac
Format: electronic Article
Physical Description:Online-Ressource
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