Band limited functions on quantum graphs

Pesenson, Isaac

doi:10.1090/S0002-9939-05-07981-5

Band limited functions on quantum graphs
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Proc. Amer. Math. Soc. 133 (2005), 3647-3655 Request permission

Abstract:

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.

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