Semi-rigid CR structures and holomorphic extendability

Mohamed S. Baouendi; Linda P. Rothschild

Journées équations aux dérivées partielles (1985)

  • Issue: 1, page 1-4
  • ISSN: 0752-0360

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Baouendi, Mohamed S., and Rothschild, Linda P.. "Semi-rigid CR structures and holomorphic extendability." Journées équations aux dérivées partielles (1985): 1-4. <http://eudml.org/doc/93117>.

@article{Baouendi1985,
author = {Baouendi, Mohamed S., Rothschild, Linda P.},
journal = {Journées équations aux dérivées partielles},
keywords = {vector distribution; Frobenius condition; CR structure; extendability theorems},
language = {eng},
number = {1},
pages = {1-4},
publisher = {Ecole polytechnique},
title = {Semi-rigid CR structures and holomorphic extendability},
url = {http://eudml.org/doc/93117},
year = {1985},
}

TY - JOUR
AU - Baouendi, Mohamed S.
AU - Rothschild, Linda P.
TI - Semi-rigid CR structures and holomorphic extendability
JO - Journées équations aux dérivées partielles
PY - 1985
PB - Ecole polytechnique
IS - 1
SP - 1
EP - 4
LA - eng
KW - vector distribution; Frobenius condition; CR structure; extendability theorems
UR - http://eudml.org/doc/93117
ER -

References

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  1. [1] Baouendi, M.S., C.H. Chang, and F. Treves, " Microlocal hypo-analyticity and extension of CR functions ", J. Diff. Geom. 18 (1983) pp. 331-391. Zbl0575.32019MR85h:32030
  2. [2] Baouendi, M.S., L.P. Rothschild, and F. Treves, " CR structures with group action and extendability of CR functions " (to appear). Zbl0598.32019
  3. [3] Baouendi, M.S. and F. Treves, " About the holomorphic extension of CR functions on real hypersurfaces in complex space ", Duke J. Math. 51 (1984) pp. 77-107. Zbl0564.32011MR85j:32021
  4. [4] Bedford, E. and J.E. Fornaess, " Local extension of CR functions from weakly pseudoconvex boundaries ", Mich Math.J. 25 (1978) pp. 259-262. Zbl0401.32007MR80c:32014
  5. [5] Bloom, T. and I. Graham, " On " type " conditions for generic submanifolds of ℂn ", Inventiones Math. 40 (1977) pp. 217-243. Zbl0339.32003
  6. [6] Boggess, A. and J. Polking, " Holomorphic extension of CR functions ", Duke Math. J. 49 (1982), 757-784. Zbl0506.32003MR84j:32018
  7. [7] Helffer, B. and J. Nourrigat, " Approximation d'un système de champs de vecteurs et applications à l'hypoellipticité ", Arkiv Mat., n° 2, (1979) pp. 237-254. Zbl0434.35025
  8. [8] Lewy, H." On the local character of the solution of an atypical differential equation in three variables and a related problem for regular functions of two complex variables ", Ann. of Math. 64 (1956) pp. 514-522. Zbl0074.06204
  9. [9] Kohn, J.J., " Boundary behaviour of ∂ on weakly pseudoconvex manifolds of dimension two ", J. Diff. Geom. 6 (1972), pp. 523-542. Zbl0256.35060
  10. [10] Sjöstrand, J., " Singularités analytiques microlocales ", Soc. Math. France, Astérisque 95 (1982), pp. 1-166. Zbl0524.35007MR84m:58151
  11. [11] Trépreau, J.M., " Sur le prolongement holomorphe de fonctions CR définies sur une hypersurface réelle de classe C2 dans Cn " (preprint). Zbl0586.32016

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