Skip to main content
Log in

Operators commuting with the multiple integration in the space of analytic 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.

Literature Cited

  1. N. I. Nagnibida, “Equivalence between some operations in the analytic spaces,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 9, 14–16 (1982).

    Google Scholar 

  2. N. I. Nagnibida and P. P. Nastasiev, “Strongly cyclic elements of some operators in the spaces of analytic functions,” Ukr. Mat. Zh.,35, No. 5, 636–641 (1983).

    Google Scholar 

  3. N. I. Nagnibida, “On certain properties of the operators of generalized iteration in an analytic space,” Sib. Mat. Zh.,7, No. 6, 1306–1318 (1966).

    Google Scholar 

  4. I. Raichinov, “Linear operators acting in the spaces of analytic functions and commuting with a fixed power of the integration operator” [in Bulgarian] Godishn. Vissh. Tekh. Uchebn. Zaved., Mat., 1970,6, No. 2, 23–32 (1972).

    Google Scholar 

  5. I. Raichinov, “On the character of a mapping represented by a linear operator commuting with a fixed power of the integration operator,” ibid.,, 33–44.

    Google Scholar 

  6. I. Raichinov, “Linear operators commuting with the operation of integration,” in: Mathematical Analysis [in Russian], Vol. 2, Rostov-on-Don State Univ. (1970), pp. 63–72.

  7. N. I. Nagnibida, “A reduction of the Volterra operators in analytic spaces to a simpler form,” Mat. Zametki,17, No. 4, 625–630 (1975).

    Google Scholar 

  8. N. I. Nagnibida, “Roots of the operator of multiple integration in the space of analytic functions in a circle,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 6, 1426–1435 (1978).

    Google Scholar 

  9. N. I. Nagnibida, “The problem of commutants of the integration operator in analytic spaces,” Sib. Mat. Zh.,22, No. 5, 127–131 (1981).

    Google Scholar 

  10. Yu. A. Kiryutenko, “Operators commuting with the integration in the space of functions analytic in simple-connected domains,” Mat. Zametki,29, No. 3, 409–419 (1981).

    Google Scholar 

  11. V. A. Tkachenko, “Operators commuting with the generalized integration in the spaces of analytic functionals,” Mat. Zametki,25, No. 2, 271–282 (1969).

    Google Scholar 

  12. I. H. Dimovski, “Convolution representation of the commutant of Gel'fond-Leont'ev integration operator,” Dokl. Bolg. Akad. Nauk,34, No. 12, 1643–1646 (1981).

    Google Scholar 

  13. I. H. Dimovski, “Representation formulas for the commutants of integer powers of Gel'fond-Leont'ev integration operators,” in: Mathematics and Mathematical Education, Reports of Second Conference of the Bulgarian Mathematical Society [in Bulgarian], Sln"chev Bryag, 6–8 April, Sofia (1982), pp. 166–172.

  14. N. I. Nagnibida, “Operators commuting with the operators of multiplication by analytic functions, and connected with them quasipower bases,” in: Theory of Functions, Functional Analysis and Applications [in Russian], No. 13, Kharkov State Univ., Kharkov (1971), pp. 63–67.

    Google Scholar 

  15. V. P. Zakharyuta and M. Yu. Tsar'kov, “Operators commuting with the multiplication in the spaces of analytic functions of one variable,” Mat. Zametki,13, No. 2, 269–276 (1973).

    Google Scholar 

Download references

Authors

Additional information

Chernovtsy. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 139–148, March–April, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nagnibida, N.I. Operators commuting with the multiple integration in the space of analytic functions. Sib Math J 27, 255–262 (1986). https://doi.org/10.1007/BF00969393

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969393

Keywords

Navigation