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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Band limited functions on quantum graphs


Author: Isaac Pesenson
Journal: Proc. Amer. Math. Soc. 133 (2005), 3647-3655
MSC (2000): Primary 94A12, 05C99; Secondary 47E05
Published electronically: June 2, 2005
MathSciNet review: 2163603
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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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Additional Information

Isaac Pesenson
Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Email: pesenson@math.temple.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07981-5
PII: S 0002-9939(05)07981-5
Keywords: Quantum graphs, band limited functions, reconstruction algorithm
Received by editor(s): May 4, 2004
Received by editor(s) in revised form: August 20, 2004
Published electronically: June 2, 2005
Communicated by: David R. Larson
Article copyright: © Copyright 2005 American Mathematical Society