On the relationship between uniqueness sets and interpolation sets in functional quasinormed spaces
Abstract
Given a functional quasinormed space we obtain conditions for a uniformly discrete set to to be either a uniqueness set or an interpolation set. We apply these results to Paley-Wiener spaces. We also obtain new results on both the refinement of stable sampling sets and the extension of stable interpolation sets in quasinormed spaces.
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