Recent zbMATH articles in MSC 30H15https://www.zbmath.org/atom/cc/30H152022-05-16T20:40:13.078697ZWerkzeugA note on the phase retrieval of holomorphic functionshttps://www.zbmath.org/1483.300972022-05-16T20:40:13.078697Z"Perez, Rolando III"https://www.zbmath.org/authors/?q=ai:perez.rolando-iiiSummary: We prove that if \(f\) and \(g\) are holomorphic functions on an open connected domain, with the same moduli on two intersecting segments, then \(f=g\) up to the multiplication of a unimodular constant, provided the segments make an angle that is an irrational multiple of \(\pi\). We also prove that if \(f\) and \(g\) are functions in the Nevanlinna class, and if \(|f|=|g|\) on the unit circle and on a circle inside the unit disc, then \(f=g\) up to the multiplication of a unimodular constant.