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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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2011-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3115.pdf |