4 papers · 1 filter
Relevant sampling of non-decaying signals in Orlicz and mixed-norm Orlicz spaces defined on a locally compact group
Sarthak Raj, S. Sivananthan
We study the sampling problem for non-decaying signals defined on a locally compact group. The signals are modeled as elements of suitable subspaces of weighted Orlicz and weighted…
Gabor frames generated by Random-Periodic time-frequency shifts
Sarthak Raj, S. Sivananthan
In this article, we consider a variation of the existence of Gabor frames in a probabilistic setting, in which we consider time-frequency shifts taken over random-periodic sets. We…
A Note on the Completeness of All Translates of a Function in the Orlicz Spaces
Bhawna Dharra, S. Sivananthan
We give a characterization of those functions whose all translates are complete in certain Orlicz space . As a consequence, we identified those discrete sets $Λ\su…
Discrete Translates of an Operator in the Schatten -Classes
Bhawna Dharra, S. Sivananthan, D. Venku Naidu
In this manuscript, we investigate the properties of systems formed by translations of an operator in the Schatten -classes . We establish the existence of Schaud…