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A perturbed integral geometry problem in three-dimensional space

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References

  1. Lavrent'ev M. M., “Integral geometry problems with perturbation on the plane,” Sibirsk. Mat. Zh.,37, No. 4, 851–857 (1996).

    Google Scholar 

  2. Bukhgeîm A. L., “On some integral geometry problems,” Sibirsk. Mat. Zh.,13, No. 1, 34–42 (1972).

    Google Scholar 

  3. Lavrent'ev M. M. andSavel'ev L. Ya., Linear Operators and Ill-Posed Problems [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  4. Begmatov Akbar K., “On one class of integral geometry problems on the plane,” Dokl. Akad. Nauk,331, No. 3, 261–262 (1993).

    Google Scholar 

  5. Begmatov Akbar K., “Reduction of an integral geometry problem in three-dimensional space to a perturbed polysingular integral equation,” Dokl. Akad. Nauk,360, No. 5, 583–585 (1998).

    MATH  Google Scholar 

  6. Gradshteîn I. S. andRyzhik I. M., Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  7. Handbook of Mathematical Functions with Formulas, M. Abramowitz and I. A. Stegun, eds [Russian translation], Nauka, Moscow (1979).

    MATH  Google Scholar 

  8. Prudnikov A. P., Brychkov Yu. A., andMarichev O. A., Integrals and Series. Elementary Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  9. Lavrent'ev M. M., Romanov V. G., andShishatskiî S. P., Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Moscow (1980).

    MATH  Google Scholar 

  10. Kreîn S. G., Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).

    Google Scholar 

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Authors
  1. Akbar K. Begmatov
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Additional information

The research was partially supported by the State Committee for Science and Technique of the Republic of Uzbekistan (Grant No. 15/99).

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 1, pp. 3–14, January–February, 2000.

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Begmatov, A.K. A perturbed integral geometry problem in three-dimensional space. Sib Math J 41, 1–12 (2000). https://doi.org/10.1007/BF02673991

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  • DOI: https://doi.org/10.1007/BF02673991

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