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2001 Sampling Theory for Functions with Fractal Spectrum
Nina N. Huang, Robert S. Strichartz
Experiment. Math. 10(4): 619-640 (2001).

Abstract

We investigate in greater detail a sampling formula given by the first author for functions whose spectrum lies in a Cantor set $K$ of a special type introduced by Jorgensen and Pedersen, where the sampling set is extremely thin, and the sampling function is quite different from the usual sinc function. We obtain new properties of the sampling function, and we give approximate descriptions of both local and global behavior of functions with spectrum in $K$. Some experimental results are described, and more can be found at http://mathlab.cit.cornell.edu/tillman.

Citation

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Nina N. Huang. Robert S. Strichartz. "Sampling Theory for Functions with Fractal Spectrum." Experiment. Math. 10 (4) 619 - 640, 2001.

Information

Published: 2001
First available in Project Euclid: 26 November 2003

zbMATH: 1014.94006
MathSciNet: MR1881762

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 4 • 2001
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