Inversion of the Pompeiu transformation in the hyperbolic disc (Two-disc case).

Mimoun El Harchaoui

Publicacions Matemàtiques (1993)

  • Volume: 37, Issue: 1, page 133-164
  • ISSN: 0214-1493

Abstract

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In this paper we extend the result established for the euclidean space in [3] to the hyperbolic disk. This includes the reconstruction of a function defined in a fixed disk B(0,R) from its averages on disks of radii r1, r2 lying in B(0, R).

How to cite

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El Harchaoui, Mimoun. "Inversion de la transformation de Pompéiu dans le disque hyperbolique (Cas de deux disques).." Publicacions Matemàtiques 37.1 (1993): 133-164. <http://eudml.org/doc/41523>.

@article{ElHarchaoui1993,
author = {El Harchaoui, Mimoun},
journal = {Publicacions Matemàtiques},
keywords = {Análisis armónico; Espacio hiperbólico; Moebius group; Pompeiu problem; local version; hyperbolic disk; Fourier coefficients},
language = {fre},
number = {1},
pages = {133-164},
title = {Inversion de la transformation de Pompéiu dans le disque hyperbolique (Cas de deux disques).},
url = {http://eudml.org/doc/41523},
volume = {37},
year = {1993},
}

TY - JOUR
AU - El Harchaoui, Mimoun
TI - Inversion de la transformation de Pompéiu dans le disque hyperbolique (Cas de deux disques).
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 133
EP - 164
LA - fre
KW - Análisis armónico; Espacio hiperbólico; Moebius group; Pompeiu problem; local version; hyperbolic disk; Fourier coefficients
UR - http://eudml.org/doc/41523
ER -

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