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A note on the Pompeiu problem for convex domains. (English) Zbl 0464.30035

MSC:
30E99 Miscellaneous topics of analysis in the complex plane
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References:
[1] Berenstein, C.A.: An inverse spectral theorem and its relation to the Pompeiu problem. J. D’analyse Math.37, 128-144 (1980) · Zbl 0449.35024 · doi:10.1007/BF02797683
[2] Brown, L., Schreiber, B., Taylor, B.A.: Spectral synthesis and the Pompeiu problem. Ann. Inst. Fourier, Grenoble23, 125-154 (1973) · Zbl 0265.46044
[3] Hurwitz, M.A.: Quelques applications géométriques des séries de Fourier. Ann. Scuola Norm. Sup. Pisa19, 357-408 (1902) · JFM 33.0599.02
[4] Williams, S.A.: A partial solution of the Pompeiu problem. Math. Ann.223, 183-190 (1976) · Zbl 0329.35045 · doi:10.1007/BF01360881
[5] Williams, S.A.: Analyticity of the boundary for Lipschitz domains without the Pompeiu property. Indiana Univ. Math. J.30, 357-369 (1981) · Zbl 0461.35061 · doi:10.1512/iumj.1981.30.30028
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