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Rate of decrease of eigenvalues of a Fredholm operator

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Literature Cited

  1. N. Dunford and J. T. Schwartz, Linear Operators, Part 3, Spectral Theory, Interscience, New York (1971).

    Google Scholar 

  2. I. Fredholm, “Sur une classe d'équations fonctionelles,” Acta Math.,27, 365–390 (1903).

    Google Scholar 

  3. E. Hille and J. D. Tamarkin, “On the characteristic values of linear integral equations,” Acta Math.,57, 1–76 (1931).

    Google Scholar 

  4. A. Gel'fond, [A. Gelfond], “Sur l'ordre de D(λ),” C. R. Acad. Sci. Paris,192, No. 14, 828–831 (1931).

    Google Scholar 

  5. A. O. Gel'fond, “On the growth of eigenvalues of homogeneous integral equations,” Appendix to the Book: W. V. Lovitt, Linear Integral Equations [Russian translation], Gosudarstvennoe Izdatel'stvo Tekhnikoteoreticheskoi Literatury, Moscow (1957).

    Google Scholar 

  6. A. O. Gel'fond, Selected Works [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  7. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Non-Self-Adjoint Linear Operators [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  8. M. Sh. Birman and M. Z. Solomyak, “Estimates of singular numbers of integral operators,” Usp. Mat. Nauk,32, No. 1, 17–84 (1977).

    Google Scholar 

  9. A. Pietsch, “Eigenvalues of integral operators,” Dokl. Akad. Nauk SSSR,247, No. 6, 1324–1327 (1979).

    Google Scholar 

  10. E. Seneta, Regular Varying Functions, Springer-Verlag, Berlin (1976).

    Google Scholar 

  11. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  12. B. Ya. Levin, Distribution of Zeros of Entire Functions [in Russian], Gosudarstvennoe Izdatel'stvo Tekhnikoteoreticheskoi Literatury, Moscow (1956).

    Google Scholar 

  13. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press, Cambridge (1959).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 120–127, September–October, 1990.

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Sedletskii, A.M. Rate of decrease of eigenvalues of a Fredholm operator. Sib Math J 31, 802–809 (1990). https://doi.org/10.1007/BF00974494

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  • DOI: https://doi.org/10.1007/BF00974494

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