#### Mamateli Kadir, A characterization of isospectral measures on LCA groups, Vol. 2020 (2020), Article ID 24, pp. 1-8

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DOI: 10.23952/jnfa.2020.24

Received March 5, 2020; Accepted June 11, 2020; Published June 23, 2020

Abstract. In this paper, we consider the isospectral measures on a locally compact Abelian (LCA) group  $G$. We fix a spectrum $\Lambda\subset\widehat{G}$, and study the possible Borel probability measures $\mu$ on $G$ having $\Lambda$ as a spectrum and extend the results on the Euclidean space $\mathbb{R}^d$ to general locally compact Abelian groups.