PEREZ III, Rolando

doi:10.4153/S000843952000082X

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PEREZ III, Rolando
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]

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Canadian Mathematical Bulletin. 2020-10-08

Cambridge University Press

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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 π. 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.< Leer menos

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A Note on the Phase Retrieval of Holomorphic Functions

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