Operators preserving the representation of a semidirect product group
Autor: | Mortazavizadeh, M., Tousi, R. Raisi |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. |
Databáze: | arXiv |
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