Skip to main content
Log in

The continuous spectrum of differential operators

  • Published:
Functional Analysis and Its Applications Aims and scope

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. A. G. Brusentsev and F. S. Rofe-Beketov, "Self-adjointness conditions for strongly elliptic systems of arbitrary order," Mat. Sb.,95, 108–130 (1974).

    Google Scholar 

  2. L. Hörmander, "The spectral function of an elliptic operator," Acta Math.,121, Nos. 3–4, 193–218 (1968).

    Google Scholar 

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

    Google Scholar 

  4. I. M. Glazman, Direct Methods of Qualitative Spectral Analysis for Singular Differential Operators [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  5. M. V. Fedoryuk, "Asymptotic methods in the theory of one-dimensional singular differential operators," Tr. Mosk. Mat. O-va,15, 296–345 (1965).

    Google Scholar 

  6. S. P. Novikov, "Periodic problem for the Korteweg-de Vries equation. I," Funkts. Anal. Prilozhen.,8, No. 3, 54–66 (1974).

    Google Scholar 

  7. M. A. Shubin, "Almost periodic elliptic operators and von Neumann algebras," Funkts. Anal. Prilozhen.,9, No. 1, 89–90 (1975).

    Google Scholar 

  8. D. R. Yafaev, "The spectrum of a perturbed polyharmonic operator. II," Probl. Mat. Fiz.,6, 142–148 (1973).

    Google Scholar 

  9. I. M. Gel'fand and L. A. Dikii, "Asymptotic behavior of the resolvent of Sturm—Liouville equations and the algebra of the Korteweg—de Vries equations," Usp. Mat. Nauk,30, No. 5, 67–100 (1975).

    Google Scholar 

  10. P. Hartman and C. R. Putnam, "The gaps in the essential spectra of wave equations," Am. J. Math.,72, 849–862 (1950).

    Google Scholar 

  11. M. Eastham, "Asymptotic estimates for the lengths of the gaps in the essential spectra of self-adjoint differential operators," Proc. Roy. Soc. Edinburgh,74A, 239–252 (1976).

    Google Scholar 

Download references

Authors

Additional information

All-Union Scientific-Research Institute of Economics for the Gas Industry. Translated from Funktsional'nyi i Ego Prilozheniya, Vol. 11, No. 1, pp. 43–54, January–March, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feigin, V.I. The continuous spectrum of differential operators. Funct Anal Its Appl 11, 35–44 (1977). https://doi.org/10.1007/BF01135530

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01135530

Keywords

Navigation