Skip to main content
SpringerLink
Log in
Book cover

Analytic Functions Błażejewko 1982 pp 9–15Cite as

On Carleman approximation by meromorphic functions

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. ARAKELJAN, N.U.: Uniform and tangential approximations by analytic functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 (1968), 273–286 (Russian).

    MathSciNet  Google Scholar 

  2. CARLEMAN, T.: Sur un théorème de Weierstrass, Ark. Mat. Astronom. Fys. 20B 4 (1927), 1–5.

    Google Scholar 

  3. GAIER, D.: Vorlesungen über Approximation im Komplexen, Birkhäuser-Verlag, Basel-Boston-Stuttgart (1980).

    MATH  Google Scholar 

  4. GAMELIN, T.W.: Uniform Algebras, Prentice-Hall, Englewood Cliffs, N.J. (1969).

    MATH  Google Scholar 

  5. GAUTHIER, P.M.: Tangential approximation by entire functions and functions holomorphic in a disc, Izv. Akad. Nauk Armjan. SSR Ser. Mat 4 (1969), 319–326.

    MathSciNet  MATH  Google Scholar 

  6. HADJIISKI, V.H.: Vitushkin's type theorems for meromorphic approximation on unbounded sets, Proc. of the Conf. on Complex Anal. and Appl., Varna 1981, to appear.

    Google Scholar 

  7. HOISCHEN, L.: A note on the approximation of continuous functions by integral functions, J. London Math. Soc. 42 (1967), 351–354.

    Article  MathSciNet  MATH  Google Scholar 

  8. HOISCHEN, L.: Eine Verschärfung eines Approximationsatzes von Carleman, J. Approx. Theory 9 (1973), 272–277.

    Article  MathSciNet  MATH  Google Scholar 

  9. KAPLAN, W.: Approximation by entire functions, Michigan Math J. 3 (1955–1956) 43–52.

    Article  MathSciNet  Google Scholar 

  10. KELDYCH, M. and LAVRENTIEFF, M.: Sur un problème de M. Carleman, C.R. (Doklady) Acad. Sci. URSS 23 (1939), 746–748.

    MathSciNet  MATH  Google Scholar 

  11. MELNIKOV, M.S.: A bound for the Cauchy integral along an analytic curve, Mat. Sh. (N.S.) 71 (113) (1966), 503–514 (Russian).

    Google Scholar 

  12. NERSESJAN, A.H.: On Carleman sets, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 6 (1971), 465–471 (Russian)

    MathSciNet  Google Scholar 

  13. NERSESJAN, A.H.: On uniform and tangential approximation by meromorphic functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 7 (1972), 405–412 (Russian).

    MathSciNet  Google Scholar 

  14. NEVANLINNA, R.: Analytic Functions, Springer-Verlag, New York-Heidelberg-Berlin (1970).

    MATH  Google Scholar 

  15. ROTH, A.: Approximationseigenshaften und Strahlengrenzwerte meromorpher und ganzen Funktionen, Comment. Math. Helv. 11 (1938), 77–125.

    Article  MathSciNet  Google Scholar 

  16. ROTH, A.: Uniform and tangential approximation by meromorphic functions on closed sets, Can. J. Math. 28 (1976), 104–111.

    Article  MATH  Google Scholar 

  17. SINCLAIR, A.: A general solution for a class of approximation problems, Pacific J. Math. 8 (1958), 857–866.

    Article  MathSciNet  MATH  Google Scholar 

  18. VITUSHKIN, A.G.: A bound for the Cauchy integral, Mat. Sb. (N.S.) 71 (113) (1966), 515–535 (Russian).

    MathSciNet  Google Scholar 

  19. ZALCMAN, L.: Analytic capacity and rational approximation, Lecture Notes No 50, Springer-Verlag, Berlin-Heidelberg-New York (1968).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Montréal Mathématiques, Montréal, H3C 3J7, Canada

    André Boivin

Authors
  1. André Boivin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Boivin, A. (1983). On Carleman approximation by meromorphic functions. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073355

Download citation

  • DOI: https://doi.org/10.1007/BFb0073355

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation