Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G<sub>4</sub> (III)
Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G<sub>4</sub> (III)
An uncertainty principle due to Hardy for Fourier transform pairs on ℜ says that if thefunction f is "very rapidly decreasing", then the Fourier transform can not also be"very rapidly decreasing" unless f is identically zero. In this paper we state and provean analogue of Hardy's theorem for low dimensional …