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.