Some Results on necessary and sufficient conditions for Bessel sequences

چکیده مقاله

In this paper, we investigates the conditions under which a system of non-uniform transforms of a matrix signal forms a Bessel sequence. Also, we prove that the soft fundamental bound- edness of the Fourier transform operator of the signal provides a sufficient criterion for this property. Furthermore, we show that this condition becomes necessary when the set of shifts exhibits the property of uniform discontinuity.