LAUSR

In this paper, we study continuous frames from projective representations of locally compact abelian groups of type $$\widehat{G}\times G$$ . In particular, using the Fourier transform on locally compact abelian groups, we obtain a characterization of maximal spanning vectors. As an application, for G, a compactly generated locally Euclidean locally compact abelian group or a local field with odd residue characteristic, we prove the existence of maximal spanning vectors, hence the phase retrievability, for the associated $$(\widehat{G}\times G)$$ -frames.