Weyl Transform on Nonunimodular Groups

Santosh Kumar Nayak

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arXiv · 2306.13260

Weyl Transform on Nonunimodular Groups

Santosh Kumar Nayak

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Abstract

For $p>2$, B. Simon\cite{Simon} studied the unboundedness of the Weyl transform for symbol belonging to $L^p({\mathbb{R}^n\times \mathbb{R}^n})$. In this article, we study the analog of unboundedness of the Weyl transform on some nonunimodular groups, namely, the affine group, similitude group, and affine Poincar\'e group.

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Santosh Kumar Nayak. 2023-06-23. Weyl Transform on Nonunimodular Groups. https://arxiv.org/abs/2306.13260

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