A sampling theory for infinite weighted graphs

We prove two sampling theorems for infinite (countable discrete) weighted graphs \(G\); one example being "large grids of resistors" i.e., networks and systems of resistors. We show that there is natural ambient continuum \(X\) containing \(G\), and there are Hilbert spaces of functions on...

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Bibliographic Details
Main Author: Palle E. T. Jorgensen
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2011-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3115.pdf

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