Abstract
In this paper, it is shown that for a fixed is a stable set of sampling for if and only if there exists such that a.e. on , where is a symbol matrix of a block Laurent operator associated with the sample set of . A similar result is proved when where and is a stable set of sampling for (single generator) as well as (multi generators ). A perturbation of stable set of sampling is also discussed.
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Acknowledgments
This work was partially done while the author (S.S.) was visiting Department of Mathematics, IIT Madras, and he gratefully acknowledges the hospitality at Chennai.
Disclosure statement
No potential conflict of interest was reported by the authors.