Geodesic
Local two-radii theorem in symmetric spaces
Sbornik. Mathematics, Tome 198 (2007) no. 11, pp. 1553-1577

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

Various classes of functions on a non-compact rank-one Riemannian symmetric space $X$ with vanishing integrals over all balls of fixed radius are studied. A description in the form of a series in hypergeometric functions is obtained for such classes and a uniqueness theorem is proved. This makes it possible to establish the local two-radii theorem in $X$ in a definitive form. Bibliography: 45 titles. 
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     author = {V. V. Volchkov},
     title = {Local two-radii theorem in symmetric spaces},
     journal = {Sbornik. Mathematics},
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     volume = {198},
     number = {11},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_11_a1/}
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V. V. Volchkov. Local two-radii theorem in symmetric spaces. Sbornik. Mathematics, Tome 198 (2007) no. 11, pp. 1553-1577. http://geodesic.mathdoc.fr/item/SM_2007_198_11_a1/