Skip to main content
Log in

Transformation operator in spaces of entire functions

  • 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.

Institutional subscriptions

Literature Cited

  1. J. Delsartes, “Sur certaines transformations fonctionelles relative aux equations lineaires aux derivees partielles du second ordre,” C. R. Acad. Sci. Paris,206, No. 1, 178–182 (1938).

    Google Scholar 

  2. J. Delsartes and J. L. Lions, “Transmutations d'opèrateurs differentielles dans le domain complexe,” Comment. Math. Helv.,32, No. 2, 113–128 (1957).

    Google Scholar 

  3. L. A. Sakhnovich, “Inverse problem for differential operators of order n>2 with analytic coefficients,” Mat. Sb.,46, No. 1, 61–76 (1958).

    Google Scholar 

  4. M. K. Fage, “Operator analytic functions of one independent variable,” Dokl. Akad. Nauk SSSR,112, No. 6, 1008–1011 (1957).

    Google Scholar 

  5. M. K. Fage, “Operator analytic functions of one independent variable,” Tr. Mosk. Mat. O-va, No. 7, 227–268 (1958).

    Google Scholar 

  6. V. I. Matsaev, “On the existence of a transformation operator for differential operators of higher order,” Dokl. Akad. Nauk SSSR,130, No. 3, 499–502 (1960).

    Google Scholar 

  7. B. M. Levitan, Theory of Generalized Translation Operators [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  8. A. O. Gel'fond and A. F. Leont'ev, “On a generalization of Fourier series,” Mat. Sb.,29, No. 3, 477–500 (1951).

    Google Scholar 

  9. M. M. Dzhrbashyan, Integral Representations and Transformations of Functions in the Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  10. V. A. Tkachenko, “On a transformation operator in spaces of entire functions of finite order,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 22 (1975), pp. 154–159.

  11. I. F. Krasichkov, “On closed ideals in locally convex algebras of entire functions,” Izv. Akad. Nauk SSSR, Ser. Mat.31, No. 1, 37–60 (1967).

    Google Scholar 

  12. I. F. Krasichkov, “On closed ideals in locally convex algebras of entire functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 5, 1024–1032 (1968).

    Google Scholar 

  13. B. A. Taylor, “Some locally convex spaces of entire functions,” Proc. Symp. Pure Math., II. Entire Functions and Related Parts Anal., Am. Math. Soc. Publ., 431–468 (1968).

  14. I. F. Krasichkov, “On closed ideals in locally convex algebras of entire functions, algebras of minimal type,” Sib. Mat. Zh.,9, No. 1, 77–96 (1968).

    Google Scholar 

Download references

Authors

Additional information

Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Kharkov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 1, pp. 152–163, January–February, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tkachenko, V.A. Transformation operator in spaces of entire functions. Sib Math J 20, 109–118 (1979). https://doi.org/10.1007/BF00976135

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00976135

Keywords

Navigation