Geodesic
Extremal problems on Pompeiu sets
Sbornik. Mathematics, Tome 189 (1998) no. 7, pp. 955-976

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

The local Pompeiu problem and related questions about functions with vanishing integrals over parallelepipeds are studied. One of the central results of the paper is the solution of the problem about the ball of smallest radius in which parallelepipeds of fixed size have the Pompeiu property. Several results of interest for complex analysis and approximation theory are obtained as consequences. 
@article{SM_1998_189_7_a0,
     author = {V. V. Volchkov},
     title = {Extremal problems on {Pompeiu} sets},
     journal = {Sbornik. Mathematics},
     pages = {955--976},
     publisher = {mathdoc},
     volume = {189},
     number = {7},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_7_a0/}
}
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V. V. Volchkov. Extremal problems on Pompeiu sets. Sbornik. Mathematics, Tome 189 (1998) no. 7, pp. 955-976. http://geodesic.mathdoc.fr/item/SM_1998_189_7_a0/