Geodesic
A note on the phase retrieval of holomorphic functions
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 779-786

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DOI

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.
DOI : 10.4153/S000843952000082X
Mots-clés : Phase retrieval, holomorphic functions 
III, Rolando Perez. A note on the phase retrieval of holomorphic functions. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 779-786. doi: 10.4153/S000843952000082X
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     title = {A note on the phase retrieval of holomorphic functions},
     journal = {Canadian mathematical bulletin},
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     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S000843952000082X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952000082X/}
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