Skip to main content
SpringerLink
Log in

Reduction of certain linear operators in the space to simplest formto simplest form

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Literature Cited

  1. L. A. Sakhnovich, Reduction of Volterna Operators to Simplest Form and of Converse Problems, Izvest. Akad. Nauk SSSR, Seria Matem., 21, No. 2, 235–262 [in Russian] (1957).

    Google Scholar 

  2. I. A. Sakhnovich, Spectral Analysis of Operators of the Form\(Kf = \mathop \smallint \limits_0^x f(t)k(x,t)dt\). Izvest. Akad. Nauk SSSR, Seria Matem., 22, No. 2, 299–308 [in Russian] (1958).

    Google Scholar 

  3. G. K. Kalisch, On Similarity, Reducing Manifolds and Unitary Equivalence of Certain Volterra Operators, Annal. Math.,66, No. 3, 481–494 (1957).

    Google Scholar 

  4. D. A. Raikov, Comptetely Continuous Spectra of Locally Convex Spaces, Tr. Mosk. Matem., Obsh,7,413–438 [in Russian] (1958).

    Google Scholar 

  5. L. A. Aizenberg and B. S. Mityngin, The Space of Functions Which are Analytic in Multi-Circular Regions, Sib. Matem. Zh.,I, No. 2, 153–170 [in Russian] (1960).

    Google Scholar 

  6. B. A. Fuks, Introduction to the Theory of Analytic Functions of Many Complex Variables [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  7. M. G. Khaplanov, Linear Transformations of Analytic Spaces, Doklady Akad. Nauk SSSR,80, No. 1, 21–24 [in Russian] (1951).

    Google Scholar 

  8. K. M. Fishman, The Problem of Linear Transformations of Analytic Spaces, Doklady Akad. Nauk SSSR,127, No. 1, 40–43 [in Russian] (1959).

    Google Scholar 

  9. L. A. Sakhnovich, The Reduction of a Certain Continuous Spectrum, Self-Adjoint Operator to Diagonal Form, Uspekhi Matem. Nauk,19, Issue 4, 193–196 [in Russian] (1958).

    Google Scholar 

  10. K. N. Fishman, The Problem of Equivalence of Differential Operators in the Space of Analytic Functions in a Circle, Uspekhi Matem. Nauk,19, Issue 5, 143–147 [in Russian] (1964).

    Google Scholar 

  11. A. I. Markushevich, Theory of Analytic Functions [in Russian], GITTL, Moscow (1950).

    Google Scholar 

  12. Yu. A. Kaz'min, Goncharov Polynomials and Problems in the Representation of Analytic Functions by a Series with Respect to the Primitive of a certain Function, Vestn. Mosk. Univ. Seria Matem., Mekh., No. 2, 9–19 [in Russian] (1962).

    Google Scholar 

Download references

Authors
  1. K. M. Fishman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 3, pp. 687–694, May–June, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fishman, K.M. Reduction of certain linear operators in the space to simplest formto simplest form. Soviet Mathematical Journal 8, 512–518 (1967). https://doi.org/10.1007/BF02196433

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02196433

Search

Navigation