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

CR Bhatta

doi:10.70530/kuset.v6i1.278

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

Authors

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

DOI:

https://doi.org/10.70530/kuset.v6i1.278

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). https://doi.org/10.70530/kuset.v6i1.278