3 papers
math.RT2019
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…
math.RT2019
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…
math.RT2017
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, \…