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/