Abstract
AbstractWe consider a general twisted shift-invariant system,
$V^{t}(\mathcal {A})$
, consisting of twisted translates of countably many generators and study the problem of obtaining a characterization for the system
$V^{t}(\mathcal {A})$
to form a frame sequence or a Riesz sequence. We illustrate our theory with some examples. In addition to these results, we study a dual twisted shift-invariant system and also obtain an orthonormal sequence of twisted translates from a given Riesz sequence of twisted translates.
Publisher
Cambridge University Press (CUP)