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arXiv · 1910.08934

Operators preserving the representation of a semidirect product group

M. Mortazavizadeh·R. Raisi Tousi
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Abstract

For a locally compact abelian group $\textbf{R}$ with a uniform lattice $\Lambda$ and a group $G$ that acts on $\textbf{R}$ by continuous automorphisms, we study operators commuting with the representation of $G \rtimes \Lambda$ on $L^2(\textbf{R})$. As a consequence, we give a characterization of shift-dilation preserving operators.

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M. Mortazavizadeh, R. Raisi Tousi. 2019-10-20. Operators preserving the representation of a semidirect product group. https://arxiv.org/abs/1910.08934

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