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).
@article{urn:eudml:doc:41523,
title = {Inversion de la transformation de Pomp\'eiu dans le disque hyperbolique (Cas de deux disques).},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {133-164},
mrnumber = {MR1240929},
zbl = {0817.43005},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41523}
}
El Harchaoui, Mimoun. Inversion de la transformation de Pompéiu dans le disque hyperbolique (Cas de deux disques).. Publicacions Matemàtiques, Tome 37 (1993) pp. 133-164. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41523/