Operators preserving the representation of a semidirect product group

Autor: Mortazavizadeh, M., Tousi, R. Raisi
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