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.

Keywords and phrases: Uncertainty principle; Fourier transform pairs; very
rapidly decreasing; Nilpotent Lie groups.

DOI: 10.3126/kuset.v6i1.3315

Kathmandu University Journal of Science, Engineering and Technology Vol.6(1) 2010, pp89-95

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How to Cite

Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G4 (III). (2010). Kathmandu University Journal of Science, Engineering and Technology, 6(1), 89-95. https://doi.org/10.3126/kuset.v6i1.3315

Issue

Vol. 6 No. 1 (2010)

Section

Original Research Articles

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How to Cite

Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G4 (III). (2010). Kathmandu University Journal of Science, Engineering and Technology, 6(1), 89-95. https://doi.org/10.3126/kuset.v6i1.3315