Low-dimensional Nilpotent Lie Groups G<sub>4</sub>
DOI:
https://doi.org/10.3126/njst.v10i0.2951Keywords:
Fourier transform, Uncertainity principle, Nilpotent Lie groupsAbstract
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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