Skip to main content

Ensembles De Zéros, Ensembles Pics Pour A(D) et A∞(D)

  • Chapter

Part of the book series: Progress in Mathematics ((PM,volume 4))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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.

Bibliographie

  1. D. Burns, and E.L. Stout. Extending functions from submanifolds on boundary. Duke Math. J. 43 (1976), 391–403.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Chaumat, et A.-M. Chollet. Ensembles de zéros, ensembles pics et d’interpolation pour A(D). Actes du Colloque d'Anal. Harm. et rompZ. 1977. La Garde-Freinet. (Laboratoire de Math. Pures de Marseille}.

    Google Scholar 

  3. J. Chaumat, et A.-M. Chollet. Ensembles pics pour A(D). Ann. Inst. Fourier. 29 (1979).

    Google Scholar 

  4. A.-M. Chollet. Ensembles de zéros à la frontiére de fonctions analytiques dans des domaines strictement pseudoconvexes. Ann. Inst. Fourier. 26 (1976), 51–80.

    Article  MATH  MathSciNet  Google Scholar 

  5. B. Cole, and R.M. Range. A-measures on complex manifolds and some applications. J. Funct. Anal. 11 (1972), 393–400.

    Article  MATH  MathSciNet  Google Scholar 

  6. A.M. Davie, and B.K. Øksendal. Peak interpolation sets for some algebras of analytic functions. Pacifia J. Math. 41 (1972), 81–87.

    Article  Google Scholar 

  7. J. Détraz. Approximation et interpolation dans un domaine pseudoconvexe. C.R. Aaad. Sa. Paris. 277 (1973), 583–586

    MATH  Google Scholar 

  8. M. Hakim, et N. Sibony. Ensembles pics dans des domaines strictement pseudoconvexes. Duke Math. J. (1978).

    Google Scholar 

  9. G.M. Henkin, and E.M. Čirka. Boundary properties of holomorphic functions of several complex variables. J. Soviet Math. 5 (1976), 612–687.

    Article  MATH  Google Scholar 

  10. G.M. Henkin, and A.E. Tumanov. C.R. Ecole d’été à Drogobytch (1974). (en russe).

    Google Scholar 

  11. K. Hoffman. Banaah spaaes of analytia funations, Prentice Hall, New Jersey (1962).

    Google Scholar 

  12. N. Kerzman, Hölder and LP estimates for solutions of ∂̄u = f in strongly pseudoconvex domains. Comm. Pure and Appl. Math. 24 (1971), 301–379.

    Article  MathSciNet  Google Scholar 

  13. B.I. Koremblum. Functions holomorphic in a disk and smooth in its closure. Soviet Math. Dokl. 12 (1971), 1312–1315.

    Google Scholar 

  14. A. Nagel. Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly peudoconvex domains. Duke Math. J. 43 (1976), 323–348.

    Article  MATH  MathSciNet  Google Scholar 

  15. A. Nagel, and W. Rudin, Local boundary behavior of bounded holomorphic functions. Can. J. Math. 30 (1978), 583–592.

    Article  MATH  MathSciNet  Google Scholar 

  16. W.P. Novinger. Holomorphic functions with infinitely differentiable boundary values. Illinois J. Math. 15 (1971), 80–90.

    MATH  MathSciNet  Google Scholar 

  17. R.M. Range, Approximation to bounded holomorphic functions on stricly pseudoconvex domains. Pac. J. Math. 41. (1972), 203–213.

    Article  MathSciNet  Google Scholar 

  18. W. Rudin, Peak interpolation sets of classe C1. Pac. J. Math. 75 (1978), 267–279.

    Article  MATH  MathSciNet  Google Scholar 

  19. E.L. Stout, A Rudin-Carleson theorem on balls. (non publiè).

    Google Scholar 

  20. B.A. Taylor, and D.L. Williams. Ideals in rings of analytic functions with smooth boundary values. Canadian J. Math. 22 (1970), 1266–1283.

    Article  MATH  MathSciNet  Google Scholar 

  21. B.A. Talylor, and D.L. Williams. The peak sets of Am. Proc. Amer. Math. Soc. 24 (1970), 604–605.

    MathSciNet  Google Scholar 

  22. R.E. Valskii. On measures orthogonal to analytic functions in ℂn. Soviet Math. Dokl. 12 (1971), 808–812.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer Science+Business Media New York

About this chapter

Cite this chapter

Chollet, AM. (1980). Ensembles De Zéros, Ensembles Pics Pour A(D) et A∞(D). In: Aupetit, B. (eds) Complex Approximation. Progress in Mathematics, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-6115-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-6115-5_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3004-1

  • Online ISBN: 978-1-4612-6115-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics