Related papers: Solution of the Pompeiu problem (I)
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This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.
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This paper was withdrawn as it may have appeared elsewhere, although in a different form.
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This paper has been withdrawn by the author due to a crucial error in equation (51).
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.
This paper has been withdrawn by the author, due to possible counter-examples.
The paper was withdrawn by the author. It contained various errors.