Skip to main content
SpringerLink
Log in

Analytic discs and the extendibility of CR functions

  • Chapter
  • First Online:
Book cover Integral Geometry, Radon Transforms and Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1684))

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

Access this chapter

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.95
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • [AH] Ayrapetian, R. A. and Henkin, G. M., Analytic continuation of CR functions through the “edge of the wedge”, Dokl. Akad. Nauk SSSR 259 (1981), 777–781.

    MathSciNet  Google Scholar 

  • [BR] Baouendi, M. S. and Rothschild, L., Cauchy-Riemann functions on manifolds of higher codimension in complex space, Invent. Math. 101 (1990), 45–56.

    Article  MathSciNet  MATH  Google Scholar 

  • [BRT] Baouendi, M. S., Rothschild, L. and Trépreau, J.-M., On the geometry of analytic discs attached to real manifolds, J. Diff. Geom. 39 (1994), 379–405.

    MathSciNet  MATH  Google Scholar 

  • [BT] Baouendi, M. S. and Treves, F., A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. of Math. 114 (1981), 387–421.

    Article  MathSciNet  MATH  Google Scholar 

  • [Bi] Bishop, E., Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1–21.

    Article  MathSciNet  MATH  Google Scholar 

  • [Bo] Boggess, A., CR manifolds and the tangential Cauchy-Riemann complex, CRC Press, 1991.

    Google Scholar 

  • [Tr] Trépreau, J.-M., Sur le prolongement holomorphe des fonctions Cr définies sur une hypersurface relle de classe C 2 dans ℂ n, C. R. Acad. Sci. Paris Sér. I Math. 301 (1985), no. 3), 61–63.

    MATH  Google Scholar 

  • [T1] Tumanov, A. E., Extending CR functions on a manifolds of finite type over a wedge, Mat. Sbornik 136 (1988), 129–140.

    Google Scholar 

  • [T2]-, On the propagation of extendibility of CR functions, In: V. Ancona et al.: Complex analysis and geometry. (Lect. Notes Pure Appl. Math. vol. 173) Basel, New York: Marcel-Dekker, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green Street, 61801, Urbana, Illinois, USA

    Alexander Tumanov

Authors
  1. Alexander Tumanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Enrico Casadio Tarabusi Massimo A. Picardello Giuseppe Zampieri

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag

About this chapter

Cite this chapter

Tumanov, A. (1998). Analytic discs and the extendibility of CR functions. In: Casadio Tarabusi, E., Picardello, M.A., Zampieri, G. (eds) Integral Geometry, Radon Transforms and Complex Analysis. Lecture Notes in Mathematics, vol 1684. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096093

Download citation

  • DOI: https://doi.org/10.1007/BFb0096093

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64207-7

  • Online ISBN: 978-3-540-69702-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation