Geodesic
On the Injectivity of the Local Pompeiu Transform on the Sphere
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 59-69

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We obtain a description of the kernel of the local Pompeiu transform for some families of distributions on the sphere.
Mots-clés : local Pompeiu transform
Keywords: injectivity of local Pompeiu transform, Riemannian two-point homogenous space, Legendre function. 
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     author = {V. V. Volchkov},
     title = {On the {Injectivity} of the {Local} {Pompeiu} {Transform} on the {Sphere}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {59--69},
     publisher = {mathdoc},
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     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a4/}
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V. V. Volchkov. On the Injectivity of the Local Pompeiu Transform on the Sphere. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a4/