arXiv subjects

D. K. Giri

Publications and source records attributed to D. K. Giri.

2 recordsLinked to original sources

arXiv2018

Uniqueness of the group Fourier transform on certain nilpotent Lie groups

In this article, we prove that if the group Fourier transform of certain integrable functions on the Heisenberg motion group (or step two nilpotent Lie groups) is of finite rank, then the function is identically zero. These results can be thought as an analogue to the Benedicks theorem that dealt with the uniqueness of the Fourier transform of integrable functions on the Euclidean spaces.

math.FA↗

arXiv2017

Uniqueness of the Fourier transform on the Euclidean motion group

In this article, we prove that if the Fourier transform of a certain integrable function on the Euclidean motion group is of finite rank, then the function has to vanish identically. Further, we explore a new variance of the uncertainty principle, the Heisenberg uniqueness pairs on the Euclidean motion group as well as on the product group $\mathbb R^n\times K,$ where $K$ is a compact group.

math.FA↗