Geodesic
Injectivity sets of the Pompeiu transform
Sbornik. Mathematics, Tome 190 (1999) no. 11, pp. 1607-1622

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the description of the injectivity sets of the Pompeiu transform $\mathscr P_\varphi$ is solved for a broad class of distributions $\varphi$ with support on the unit sphere. 
@article{SM_1999_190_11_a2,
     author = {V. V. Volchkov},
     title = {Injectivity sets of the {Pompeiu} transform},
     journal = {Sbornik. Mathematics},
     pages = {1607--1622},
     publisher = {mathdoc},
     volume = {190},
     number = {11},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1999_190_11_a2/}
}
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V. V. Volchkov. Injectivity sets of the Pompeiu transform. Sbornik. Mathematics, Tome 190 (1999) no. 11, pp. 1607-1622. http://geodesic.mathdoc.fr/item/SM_1999_190_11_a2/