SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY
comp-gas
2016-08-31 v1 Cellular Automata and Lattice Gases
Abstract
We consider the problem of reconstructing a function given its values on a set of points with finite density. We prove that with probability one, the values of an almost periodic function on a random array of points (with finite density) completely determine the function. We also give some properties of the associated Blaschke product.
Keywords
Cite
@article{arxiv.comp-gas/9506001,
title = {SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY},
author = {P. Collet},
journal= {arXiv preprint arXiv:comp-gas/9506001},
year = {2016}
}
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