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arXiv · 1608.00825

Uniqueness of the Fourier transform on the Euclidean motion group

A. Chattopadhyay·D. K. Giri·R. K. Srivastava
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Abstract

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.

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A. Chattopadhyay, D. K. Giri, R. K. Srivastava. 2016-08-02. Uniqueness of the Fourier transform on the Euclidean motion group. https://arxiv.org/abs/1608.00825

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