Extremal problems on Pompeiu sets. II
Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 619-632
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A solution of the local Pompeiu problem is obtained for functions with vanishing integrals over parallelepipeds lying in a fixed ball.
@article{SM_2000_191_5_a0,
author = {V. V. Volchkov},
title = {Extremal problems on {Pompeiu} sets. {II}},
journal = {Sbornik. Mathematics},
pages = {619--632},
publisher = {mathdoc},
volume = {191},
number = {5},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2000_191_5_a0/}
}
V. V. Volchkov. Extremal problems on Pompeiu sets. II. Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 619-632. http://geodesic.mathdoc.fr/item/SM_2000_191_5_a0/