Parseval's Identity for Low-Dimensional Nilpotent Lie Groups G<sub>5,1</sub>, G<sub>5,2</sub>, G<sub>5,3</sub> and G<sub>5,5</sub>

Authors

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

DOI:

https://doi.org/10.70530/kuset.v5i1.238

Keywords:

Fourier transform, Hilbert schmidt norm, Kernel function

Abstract

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.

Published

2009-01-28

How to Cite

Bhatta, C. (2009). Parseval’s Identity for Low-Dimensional Nilpotent Lie Groups G<sub>5,1</sub>, G<sub>5,2</sub>, G<sub>5,3</sub> and G<sub>5,5</sub>. Kathmandu University Journal of Science Engineering and Technology, 5(1). https://doi.org/10.70530/kuset.v5i1.238