Skip to main content
SpringerLink
Log in

Locally determined envelopes of holomorphy in ℂ2

  • Published:
Mathematische Annalen 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.

Institutional subscriptions

References

  1. Baouendi, M.S., Treves, F.: About the holomorphic extension ofCR functions on real hypersurfaces in complex space. Duke Math. J.51, 77–107 (1984)

    Google Scholar 

  2. Bedford, E.: Levi flat hypersurfaces in ℂ2 with prescribed boundary: Stability. Ann. Scuola Norm. Sup. Pisa9, 529–570 (1982)

    Google Scholar 

  3. Bedford, E.: Local and global envelopes of holomorphy of domains in ℂ2. Trans. Am. Math. Soc.292, 665–674 (1985)

    Google Scholar 

  4. Bedford, E., Fornaess, J.-E.: Local extension ofCR functions from weakly pseudoconvex boundaries. Mich. Math. J.25, 259–262 (1978)

    Google Scholar 

  5. Bedford, E., Gaveau, B.: Envelopes of holomorphy of certain 2-spheres in ℂ2. Am. J. Math.105, 975–1009 (1983)

    Google Scholar 

  6. Berger, M.: Nonlinearity and functional analysis. London New York: Academic Press 1977

    Google Scholar 

  7. Bishop, E.: Differentiable manifolds in complex Euclidean space. Duke Math. J.32, 1–21 (1965)

    Google Scholar 

  8. Boggess, A.:CR extendability near a point where the first leviform vanishes. Duke Math. J.48, 665–684 (1981)

    Google Scholar 

  9. Fornaess, J.-E., Rea, C.: Local holomorphic extendability and nonextendability ofCR-functions on smooth boundaries. Ann. Scuola Norm. Sup. Pisa12, 491–502 (1985)

    Google Scholar 

  10. Hill, C.D., Taiani, D.: Families of analytic disks in ℂn with boundaries in a prescribedCR submanifold. Ann. Scuola Norm. Sup. Pisa4–5, 327–380 (1978)

    Google Scholar 

  11. Hunt, L.R.: The local envelope of holomorphy of ann-manifold in ℂn. Boll. Un. Mat. Ital.4, 12–35 (1971)

    Google Scholar 

  12. Kenig, C., Webster, S.: The local hull of holomorphy of a surface in the space of two complex variables. Invent. Math.67, 1–21 (1982)

    Google Scholar 

  13. Moser, J.: Analytic surfaces in ℂ2 and their local hull of holomorphy. Ann. Acad. Sci. Fenn. Ser. A.I. Math.10, 397–410 (1985)

    Google Scholar 

  14. Moser, J., Webster, S.: Normal forms for real surfaces in ℂ2 near complex tangents and hyperbolic surface transformations. Acta Math.150, 255–296 (1983)

    Google Scholar 

  15. Polking, J., Wells, R.O.: Hyperfunction boundary values and a generalized Bochner-Harlogs theorem. Abh. Math. Sem. Univ. Hamburg47, 3–24 (1978)

    Google Scholar 

  16. Rea, C.: Extension holomorphe bilatérale des fonctionsCR données sur une hypersurface différentiable de ℂ2. C.R. Acad. Sci. Paris294, 577–579 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    Eric Bedford

Authors
  1. Eric Bedford
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bedford, E. Locally determined envelopes of holomorphy in ℂ2 . Math. Ann. 281, 419–429 (1988). https://doi.org/10.1007/BF01457154

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457154

Search

Navigation