6 citations · 27 across the 27 of their papers we have counts for
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Uncertainty principles on nilpotent Lie groups
Jyoti Sharma, Ajay Kumar
Hardy's type uncertainty principle on connected nilpotent Lie groups for the Fourier transform is proved. An analogue of Hardy's theorem for Gabor transform has been established fo…
Continuous abstract wavelet transform on homogeneous space
Jyoti Sharma, Ajay Kumar
The support of wavelet transform associated with square integrable irreducible representation of a homogeneous space is shown to have infinite measure. Pointwise homogeneous approx…
Qualitative uncertainty principle for Gabor transform on certain locally compact groups
Jyoti Sharma, Ajay Kumar
Classes of locally compact groups having qualitative uncertainty principle for Gabor transform have been investigated. These include Moore groups, Heisenberg Group $\mathbb{H}_n, \…
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…