Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G4 (III)

CR Bhatta

Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G4 (III)

Authors

CR Bhatta Central Department of Mathematics Tribhuvan University, Kirtipur, Kathmandu

Keywords:

Uncertainty principle, Fourier transform pairs, very rapidly decreasing, Nilpotent Lie groups

Abstract

An uncertainty principle due to Hardy for Fourier transform pairs on ℜ says that if the
function 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 prove
an analogue of Hardy's theorem for low dimensional nilpotent Lie groups G₄.

Published

2010-01-28

How to Cite

Bhatta, C. (2010). Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G4 (III). Kathmandu University Journal of Science Engineering and Technology, 6(1). Retrieved from https://journals.ku.edu.np/kuset/article/view/278