Skip to main content
Log in

Equivalence of certain integral operators in spaces of analytic functions

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. J. Delsartes and J. L. Lions, “Transmutations d'opérateurs différentiels dans le domaine complexe,” Commun. Math. Helv.,32, No. 2, 113–128 (1957).

    Google Scholar 

  2. M. K. Fage, “Equivalence of two ordinary linear differential operators with analytic coefficients,” in: Studies in Contemporary Problems in the Theory of Functions of a Complex Variable [in Russian], Fizmatgiz, Moscow (1961), pp. 468–476.

    Google Scholar 

  3. N. I. Nagnibida, “Equivalence of certain first-order differential operators with ‘singularities’,” Sib. Mat. Zh.,10, No. 6, 1422–1426 (1969).

    Google Scholar 

  4. M. G. Khaplanov, “Linear transformations of analytic spaces,” Dokl. Akad. Nauk SSSR,80, No. 1, 21–24 (1951).

    Google Scholar 

  5. N. I. Nagnibida, “Isomorphisms of the space of functions which are analytic in a disk and which commute with a power of the integration operator,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], Vol. 6, Kharkov Univ. (1968), pp. 184–188.

    Google Scholar 

  6. L. A. Sakhnovich, “Reduction of a self-adjoint operator with continuous spectrum to diagonal form,” Usp. Mat. Nauk,13, No. 4, 193–196 (1958).

    Google Scholar 

  7. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press (1966).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 53–60, January–February, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oliinyk, N.P. Equivalence of certain integral operators in spaces of analytic functions. Ukr Math J 32, 38–44 (1980). https://doi.org/10.1007/BF01090465

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090465

Keywords

Navigation