SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY

P. Collet

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SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY

P. Collet

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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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P. Collet. 1995-06-15. SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY. https://arxiv.org/abs/comp-gas/9506001

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