A Note on the Phase Retrieval of Holomorphic Functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | University of the Philippines [UP System] | |
| dc.contributor.author | PEREZ III, Rolando | |
| dc.date.accessioned | 2024-04-04T02:49:21Z | |
| dc.date.available | 2024-04-04T02:49:21Z | |
| dc.date.created | 2020-10-08 | |
| dc.date.issued | 2020-10-08 | |
| dc.identifier.issn | 0008-4395 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191816 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/publicDomain/ | |
| dc.title.en | A Note on the Phase Retrieval of Holomorphic Functions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4153/S000843952000082X | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.identifier.arxiv | 2009.02061 | |
| bordeaux.journal | Canadian Mathematical Bulletin | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02929358 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02929358v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Canadian%20Mathematical%20Bulletin&rft.date=2020-10-08&rft.eissn=0008-4395&rft.issn=0008-4395&rft.au=PEREZ%20III,%20Rolando&rft.genre=article |
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