4 papers
Hardy's Theorem for Gabor transform
Ashish Bansal, Ajay Kumar
We establish analogues of Hardy's theorem for Gabor transform on locally compact abelian groups, Euclidean motion group and several general classes of nilpotent Lie groups which in…
Qualitative Uncertainty Principle for Gabor transform
Ashish Bansal, Ajay Kumar
We discuss the Qualitative Uncertainty Principle for Gabor transform on certain classes of the locally compact groups, like abelian groups, , $K \ltimes \math…
Heisenberg Uncertainty Inequality for Gabor Transform
Ashish Bansal, Ajay Kumar
We discuss Heisenberg uncertainty inequality for groups of the form , is a separable unimodular locally compact group of type I. This inequality is also…
Generalized Analogs of the Heisenberg Uncertainty Inequality
Ashish Bansal, Ajay Kumar
We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds…