Skip to main content
Log in

The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: I

  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. Il'in, V.A., Spektral'naya teoriya differentsial'nykh operatorov (Spectral Theory of Differential Operators), Moscow, 1991.

  2. Lomov, I.S., Differents. Uravn., 1998, vol. 34, no. 5, pp. 619-628; no. 8, pp. 1066-1077.

    Google Scholar 

  3. Lomov, I.S., Differents. Uravn., 2000, vol. 36, no. 12, pp. 1621-1630.

    Google Scholar 

  4. Moiseev, E.I., Differents. Uravn., 1980, vol. 16, no. 5, pp. 827-844.

    Google Scholar 

  5. Lomov, I.S., Differents. Uravn., 1999, vol. 35, no. 8, pp. 1046-1057.

    Google Scholar 

  6. Khromov, A.P., Differents. Uravn., 1995, vol. 31, no. 10, pp. 1691-1696.

    Google Scholar 

  7. Radzievskii, G.V., Ukr. Mat. Zh., 1996, vol. 48, no. 4, pp. 483-519.

    Google Scholar 

  8. Radzievskii, G.V., Funkts. Analiz i Ego Prilozheniya, 1995, vol. 29, no. 3, pp. 87-90.

    Google Scholar 

  9. Gomilko, A.M. and Radzievskii, G.V., Dokl. RAN, 1991, vol. 316, no. 2, pp. 265-270.

    Google Scholar 

  10. Gomilko, A.M. and Radzievskii, G.V., Differents. Uravn., 1991, vol. 27, no. 3, pp. 384-396.

    Google Scholar 

  11. Gomilko, A.M. and Radzievskii, G.V., Mat. Zametki, 1991, vol. 49, no. 1, pp. 47-55.

    Google Scholar 

  12. Shkalikov, A.A., Vestn. Mosk. Univ. Ser. 1. Matematika, Mekhanika, 1982, no. 6, pp. 12-21.

  13. Volkov, V.E., Differents. Uravn., 1987, vol. 23, no. 6, pp. 952-959.

    Google Scholar 

  14. Kurbanov, V.M., Differents. Uravn., 1988, vol. 24, no. 4, pp. 574-583.

    Google Scholar 

  15. Kurbanov, V.M., Differents. Uravn., 1992, vol. 28, no. 7, pp. 1279-1280.

    Google Scholar 

  16. Lomov, I.S., Dokl. RAN, 1995, vol. 343, no. 5, pp. 599-602.

    Google Scholar 

  17. Kurbanov, V.M., Dokl. RAN, 1999, vol. 365, no. 4, pp. 450-453.

    Google Scholar 

  18. Budaev, V.D., Unconditional Basis Property of Systems of Root Functions of Ordinary Differential Operators, Autoreferat of Doctoral (Phys.-Math.) Dissertation, Moscow, 1993.

  19. Moiseev, E.I., Dokl. Akad. Nauk SSSR, 1984, vol. 275, no. 4, pp. 794-798.

    Google Scholar 

  20. Lomov, I.S., Differents. Uravn., 1998, vol. 34, no. 1, pp. 31-39.

    Google Scholar 

  21. Sedletskii, A.M., Differents. Uravn., 1995, vol. 31, no. 10, pp. 1675-1681.

    Google Scholar 

  22. Il'in, V.A., Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 4, pp. 789-793.

    Google Scholar 

  23. Il'in, V.A., Differents. Uravn., 1991, vol. 27, no. 4, pp. 577-597.

    Google Scholar 

  24. Kerimov, N.B., Some Problems of Spectral Theory of Nonself-Adjoint Differential Operators, Autoreferat of Cand. Sci. (Phys.-Math.) Dissertation, Moscow, 1985.

  25. Lomov, I.S., Vestn. Mosk. Univ. Ser. 1. Matematika, Mekhanika, 1992, no. 5, pp. 33-43.

  26. Zygmund, A., Trigonometric Series, Cambridge, 1959. Translated under the title Trigonometricheskie ryady, Moscow, 1965, vol. 1.

  27. Besov, O.V., Il'in, V.P., and Nikol'skii, S.M., Integral'nye predstavleniya funktsii i teoremy vlozheniya (Integral Representations of Functions and Embedding Theorems), Moscow, 1975.

  28. Il'in, V.A., Sadovnichii, V.A., and Sendov, Bl.Kh., Matematicheskii analiz (Mathematical Analysis), Moscow, 1985, part 1.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lomov, I.S. The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: I. Differential Equations 37, 351–366 (2001). https://doi.org/10.1023/A:1019242515472

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019242515472

Keywords

Navigation