Inequalities and Local Uncertainty Principles for Nilpotent Lie Groups

2019 ◽  
Vol 106 (3-4) ◽  
pp. 429-438
Author(s):  
K. Smaoui
Keyword(s):  
Lie Groups ◽  
Nilpotent Lie Groups ◽  
Uncertainty Principles ◽  
Local Uncertainty

scholarly journals Parseval's Identity for Low-Dimensional Nilpotent Lie Groups G5,1, G5,2, G5,3 and G5,5

1970 ◽  
Vol 5 (1) ◽  
pp. 23-30
Author(s):  
CR Bhatta
Keyword(s):  
Fourier Transform ◽  
Lie Groups ◽  
Kernel Function ◽  
Nilpotent Lie Groups ◽  
Uncertainty Principles ◽  
Type Result ◽  
Schmidt Norm ◽  
Engineering And Technology ◽  
Low Dimensional

We prove the Parseval's identity for low-dimensional nilpotent Lie groups such as G5,1, G5,2, G5,3 and G5,5 respectively which are important for proving Hardy uncertainty principles type result. Keywords: Fourier transform; Hilbert schmidt norm; Kernel function. DOI: 10.3126/kuset.v5i1.2844 Kathmandu University Journal of Science, Engineering and Technology Vol.5, No.1, January 2009, pp 23-30

scholarly journals An invariant for unitary representations of nilpotent Lie groups.

1987 ◽  
Vol 34 (1) ◽  
pp. 23-30 ◽  
Author(s):  
C. Benson ◽  
G. Ratcliff
Keyword(s):  
Lie Groups ◽  
Unitary Representations ◽  
Nilpotent Lie Groups
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