Skip to main content
SpringerLink
Log in

Analytic continuation of the resolvent of a self-adjoint operator across its continuous spectrum

  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. V. A. Marchenko and E. Ya. Khruslov, “Boundary value problems with finelydivided boundaries,” Matem. Sb., 65 (107), 458–472 (1964).

    Google Scholar 

  2. E. Ya. Khruslov, The First Boundary Value Problem in Domains with Finely Divided Boundaries, Author's Abstract of doctoral dissertation [in Russian].

  3. K. L. Dol'f, “Contemporary developments in certain self-adjoint problems of mathematical physics,” Matem. Sb. translations, 7:1, 79–136 (1963).

    Google Scholar 

  4. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Self-adjoint Linear Operators [in Russian], Izd-vo “Nauka,” Moscow (1965).

    Google Scholar 

  5. M. G. Krein, “Theory of self-adjoint extensions of semi-bounded operators and applications. I,” Matem. Sb., 20 (62):3, 431–495 (1947).

    Google Scholar 

  6. M. Sh. Birman, “Spectrum of singular boundary value problems for elliptic differential equations,” Dokl. Akad. Nauk SSSR,97, No. 1, 5–7 (1954).

    Google Scholar 

  7. M. Sh. Birman, “Theory of self-adjoint extensions of positive definite operators,” Dokl. Akad. Nauk SSSR,91, No. 2, 189–191 (1953).

    Google Scholar 

  8. Yu. M. Berezanskii, Expansions in Eigenfunctions for Self-adjoint Operators [in Russian], Izd-vo Naukova Dumka, Kiev (1965).

    Google Scholar 

  9. S. L. Sobolev, Some Applications of Functional Analysis to Mathematical Physics [in Russian], Izd-vo Leningr. Un-ta (1950).

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    L. I. Dyuzhenkova & L. P. Nizhnik

Authors
  1. L. I. Dyuzhenkova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. P. Nizhnik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 20, No. 6, pp. 759–765, November–December, 1968.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dyuzhenkova, L.I., Nizhnik, L.P. Analytic continuation of the resolvent of a self-adjoint operator across its continuous spectrum. Ukr Math J 20, 655–660 (1968). https://doi.org/10.1007/BF01085234

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085234

Keywords

Search

Navigation