Band limited functions on quantum graphs
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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.References
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Additional Information
- Isaac Pesenson
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- MR Author ID: 196903
- Email: pesenson@math.temple.edu
- 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
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3647-3655
- MSC (2000): Primary 94A12, 05C99; Secondary 47E05
- DOI: https://doi.org/10.1090/S0002-9939-05-07981-5
- MathSciNet review: 2163603