Low-dimensional Nilpotent Lie Groups G<sub>4</sub>

Authors

  • Chet Raj Bhatta Central Department of Mathematics

DOI:

https://doi.org/10.3126/njst.v10i0.2951

Keywords:

Fourier transform, Uncertainity principle, 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 cannot also be "very rapidly decreasing unless f is indentically zero." In this paper we study the relevant data for G4 and state and prove an analogue of Hardy theorem for low-dimensional nilpotent Lie groups G4.

Key words: Fourier transform; Uncertainity principle; Nilpotent Lie groups

DOI: 10.3126/njst.v10i0.2951

Nepal Journal of Science and Technology Vol. 10, 2009 Page: 155-159

 

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Author Biography

Chet Raj Bhatta, Central Department of Mathematics

Profesor, Central Department of Mathematics Tribhuvan University, Kirtipur, Kathmandu

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How to Cite

Bhatta, C. R. (2010). Low-dimensional Nilpotent Lie Groups G<sub>4</sub>. Nepal Journal of Science and Technology, 10, 155–159. https://doi.org/10.3126/njst.v10i0.2951

Issue

Vol. 10 (2009)

Section

Articles

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