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Reconstruction of functions from the traces of their normal derivatives on a line in R2 preserving the class Cr(R2)

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Literature cited

  1. O. N. Litvin, “Interpolation of functions and their normal derivatives on smooth lines in Rm,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 7, 15–19 (1984).

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  2. O. N. Litvin, “Interpolation of Cauchy data on several parallel lines in R2 preserving the differentiability class,” Ukr. Mat. Zh.,37, No. 4, 509–513 (1985).

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  3. I. M. Vinogradov (ed.), Mathematical Encyclopedia, Vol. 1 [in Russian], Sov. Entsiklopediya, Moscow (1977).

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  1. Ukrainian Correspondence Polytechnic Institute, USSR

    O. N. Litvin

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  1. O. N. Litvin
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Translated from Ukrainskii Maternaticheskii Zhurnal, Vol. 41, No. 8, pp. 1141–1146, August, 1989.

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Litvin, O.N. Reconstruction of functions from the traces of their normal derivatives on a line in R2 preserving the class Cr(R2). Ukr Math J 41, 986–990 (1989). https://doi.org/10.1007/BF01058322

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  • DOI: https://doi.org/10.1007/BF01058322

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