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Mean value theorems for a class of polynomials

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References

  1. L. Zalcman, “Offbeat integral geometry,” Amer. Math. Monthly,87, No. 3, 161–175 (1980).

    Google Scholar 

  2. V. V. Volchkov, Functions with Zero Integrals over Certain Sets [in Russian], Donetsk. Univ., Kiev (1990).

    Google Scholar 

  3. V. V. Volchkov, “Functions with zero integrals over certain sets,” Dokl. Akad. Nauk Ukrain. SSR, No. 8, 9–11 (1990).

    Google Scholar 

  4. N. Ya. Vilenkin, Special Functions and Representation Theory of Groups [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  5. V. V. Proizvolov, “Integrals that are constant on congruent domains,” Mat. Zametki,21, No. 2, 183–186 (1977).

    Google Scholar 

  6. F. John, Plane Waves and Spherical Means Applied to Partial Differential Equations [Russian translation], Izdat. Inostr. Lit., Moscow (1958).

    Google Scholar 

  7. V. V. Volchkov, “Mean value theorems for some differential equations,” Dokl. Akad. Nauk Ukrain. SSR Ser. A, No. 6, 11–14 (1991).

    Google Scholar 

  8. S. Helgason, Groups and Geometric Analysis [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  9. E. Stein and G. Weiss, Introduction to Harmonic Analysis on Euclidean Spaces [Russian translation], Mir, Moscow (1954).

    Google Scholar 

  10. B. Ya. Levin, Distribution of Roots of Entire Functions [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  11. V. V. Volchkov, “Mean value theorems for some differential equations,” submitted to Ukrain. NIINTI on March 6, 1991, No. 301-Uk91.

  12. V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  13. G. P. Tolstov, Fourier Series [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  14. V.V. Volchkov, “Pompeiu-type problems on the Lobachevskii plane,” submitted to Ukrain. NIINTI on November 26, 1991, No. 1514-Uk91.

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Authors and Affiliations

  1. Donetsk

    V. V. Volchkov

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  1. V. V. Volchkov
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Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 737–745, July–August, 1994.

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Volchkov, V.V. Mean value theorems for a class of polynomials. Sib Math J 35, 656–663 (1994). https://doi.org/10.1007/BF02106608

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  • DOI: https://doi.org/10.1007/BF02106608

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