Skip to main content
Log in

Generalized analytic continuation by symmetry

  • 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.

Institutional subscriptions

Literature cited

  1. A. V. Kuzhel', “Characteristic matrix functions of quasiunitary operators of any rank in a space with indefinite metric,” Dopovidi Akad. Nauk Ukr. SSR, No. 9, 1135–1138 (1962).

    Google Scholar 

  2. A. V. Kuzhel', “Spectral analysis of bounded non-self-adjoint operators in a space with indefinite metric,” Dokl. Akad. Nauk SSSR,151, No. 4, 772–774 (1963).

    Google Scholar 

  3. R. Nevanlinna, “On bounded analytic functions,” Soumalais. Tiedeakat. Toimituks., Ser. Al, No. 23, 1–75 (1929).

    Google Scholar 

  4. W. Seidel, “On the distribution of values of bounded analytic functions,” Trans. Am. Math. Soc.,36, 201–226 (1934).

    Google Scholar 

  5. A. Lohwater, “Boundary behavior of analytic functions,” in: Matematicheskii Analiz, Itogi Nauki,10, 1–158, VINITI, Moscow (1973).

    Google Scholar 

  6. E. Collingwood and A. Lohwater, The Theory of Cluster Sets, Cambridge Univ. Press, Cambridge (1966).

    Google Scholar 

  7. W. Seidel, “On the cluster values of analytic functions,” Trans. Am. Math. Soc.,34, 1–21 (1932).

    Google Scholar 

  8. B. Sz. Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, Elsevier (1971).

  9. I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

  10. V. P. Potapov, “Multiplicative structure of J-contractive matrix functions,” Tr. Mosk. Mat. Ob-va, No. 4, 195–236 (1955).

    Google Scholar 

  11. V. P. Potapov, “On holomorphic matrix functions bounded in the unit circle,” Dokl. Akad. Nauk SSSR,72, No. 5, 849–852 (1950).

    Google Scholar 

  12. D. Z. Arov, “On Darlington's method in the study of dissipative systems,” Doki. Akad. Nauk SSSR,201, No. 3, 559–562 (1973).

    Google Scholar 

  13. D. Z. Arov, “Darlington realization of matrix functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,37, No. 6, 1299–1331 (1973).

    Google Scholar 

  14. W. Hayman, Meromorphic Functions, Clarendon Press, Oxford (1964).

    Google Scholar 

  15. Yu. A. Rozanov, Stationary Stochastic Processes [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 5, pp. 579–584, September–October, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bespal'tsev, A.A. Generalized analytic continuation by symmetry. Ukr Math J 32, 375–379 (1980). https://doi.org/10.1007/BF01091558

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01091558

Keywords

Navigation