Skip to main content
Log in

The n-fold basis property of the characteristic functions of certain regular boundary-value problems

  • Published:
Siberian Mathematical Journal 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.

Literature Cited

  1. Ya. D. Tamarkin, On Some General Problems in the Theory of Ordinary Linear Differential Equations [in Russian], M. P. Frolovoi, Petersburg (1917).

    Google Scholar 

  2. M. V. Keldysh, “On the characteristic values and characteristic functions of certain classes of nonself-adjoint equations”, Dokl. Akad. Nauk SSSR,77, No. 1, 11–14 (1951).

    Google Scholar 

  3. V. N. Vizimei and A. S. Markus, “On the convergence of multiple expansions with respect to the system of characteristic and adjoint vectors of an operator bundle”, Matem. Sb.,66, No. 2, 287–320 (1965).

    Google Scholar 

  4. M. V. Keldysh, “On the totalness of the characteristic functions of certain classes of nonself-adjoint linear operators”, Usp. Matem. Nauk,26, No. 4, 15–41 (1971).

    Google Scholar 

  5. N. K. Bari, “Biorthogonal systems and bases in a Hilbert space”, Uchen. Zap. Mosk. Un-ta,4, No. 148, 68–107 (1951).

    Google Scholar 

  6. M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  7. V. F. Gaposhkin, “A generalization of the theorem of M. Riesz on conjugate functions”, Matem. Sb.,46, No. 3, 359–372 (1958).

    Google Scholar 

  8. G. M. Kesel'man, “On unconditional convergence of expansions in the characteristic functions of certain differential operators”, Izv. Vyssh. Uchebn. Zaved., Matematika, No. 2, 82–93 (1964).

    Google Scholar 

  9. V. P. Mikhailov, “On Riesz bases in L2(0,1)”, Dokl. Akad. Nauk SSSR,144, No. 5, 981–984 (1962).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 3, pp. 627–639, May–June, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Orazov, M.B., Shkalikov, A.A. The n-fold basis property of the characteristic functions of certain regular boundary-value problems. Sib Math J 17, 483–492 (1976). https://doi.org/10.1007/BF00967867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967867

Keywords

Navigation