Nazarov Uncertainty Principle for Certain Lie Groups

Nazarov uncertainty principle is established for the Fourier transform and the continuous modulated shearlet transform on the groups of the form \(\mathbb{R}^n \times K\), where \(K\) is a locally compact group. As special cases, Nazarov uncertainty principle follows for the Gabor transform, the shearlet transform and the wavelet transform on these groups.