SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY

1995/06/15 by P. Collet, Collet, P.
Physics and Astronomy · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #comp-gas #nlin.CG

paper · pdf · doi:10.48550/arxiv.comp-gas/9506001

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arxiv created 1995/06/15 · arxiv updated 2016/08/30

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.

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