SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY

Details SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY SAMPLING ALMOST PERIODIC FUNCTIONS WITH RANDOM PROBES OF FINITE DENSITY

1995-06-15

arxiv.org/abs/comp-gas/9506001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

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Scientific paper

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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