JAMING, Philippe; PÉREZ-ESTEVA, Salvador

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

JAMING, Philippe
Institut de Mathématiques de Bordeaux [IMB]

PÉREZ-ESTEVA, Salvador
Instituto de Matematicas, Unidad Cuernavaca [UNAM-CUERNAVACA]

Idioma

Article de revue

Este ítem está publicado en

Inverse Problems. 2017p. Article 105007

IOP Publishing

Resumen en inglés

In this paper we consider the phase retrieval problem for Herglotz functions, that is, solutions of the Helmholtz equation ∆u + λ 2 u = 0 on domains Ω ⊂ R d , d ≥ 2. In dimension d = 2, if u, v are two such solutions then |u| = |v| implies that either u = cv or u = c¯ v for some c ∈ C with |c| = 1. In dimension d ≥ 3, the same conclusion holds under some restriction on u and v: either they are real valued or zonal functions or have non vanishing mean.< Leer menos

Palabras clave en inglés

phase retrieval

Helmholtz equation

URI

https://oskar-bordeaux.fr/handle/20.500.12278/193711

Proyecto ANR

Analyse Variationnelle en Tomographies photoacoustique, thermoacoustique et ultrasonore - ANR-12-BS01-0001
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251