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Band Limited Functions on Quantum Graphs
Proceedings of the American Mathematical Society
Vol. 133, No. 12 (Dec., 2005), pp. 3647-3655
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/4097510
Page Count: 9
You can always find the topics here!Topics: Mathematical functions, Vertices, Mathematical theorems, Fourier transformations, Uniqueness, Mathematical vectors, Mathematical inequalities, Value theorems, Analytics
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The notion of band limited functions is introduced on a quantum graph. The main results of the paper are a uniqueness theorem and a reconstruction algorithm of such functions from discrete sets of values. It turns out that some of our band limited functions can have compact supports and their frequencies can be localized on the "time" side. It opens an opportunity to consider signals of a variable band width and to develop a sampling theory with variable rate of sampling.
Proceedings of the American Mathematical Society © 2005 American Mathematical Society