Semi-rigid CR structures and holomorphic extendability
Baouendi, Mohamed S. ; Rothschild, Linda P.
Journées équations aux dérivées partielles, (1985), p. 1-4 / Harvested from Numdam
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Publié le : 1985-01-01
@article{JEDP_1985___1_A1_0,
     author = {Baouendi, Mohamed Salah and Rothschild, Linda Preiss},
     title = {Semi-rigid CR structures and holomorphic extendability},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1985},
     pages = {1-4},
     mrnumber = {831999},
     zbl = {0593.58001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1985___1_A1_0}
}

Baouendi, Mohamed S.; Rothschild, Linda P. Semi-rigid CR structures and holomorphic extendability. Journées équations aux dérivées partielles,  (1985), pp. 1-4. http://gdmltest.u-ga.fr/item/JEDP_1985___1_A1_0/

[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. | MR 85h:32030 | Zbl 0575.32019

[2] Baouendi, M.S., L.P. Rothschild, and F. Treves, " CR structures with group action and extendability of CR functions " (to appear).

[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. | MR 85j:32021 | Zbl 0564.32011

[4] Bedford, E. and J.E. Fornaess, " Local extension of CR functions from weakly pseudoconvex boundaries ", Mich Math.J. 25 (1978) pp. 259-262. | MR 80c:32014 | Zbl 0401.32007

[5] Bloom, T. and I. Graham, " On " type " conditions for generic submanifolds of ℂn ", Inventiones Math. 40 (1977) pp. 217-243. | Zbl 0339.32003

[6] Boggess, A. and J. Polking, " Holomorphic extension of CR functions ", Duke Math. J. 49 (1982), 757-784. | MR 84j:32018 | Zbl 0506.32003

[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. | Zbl 0434.35025

[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. | Zbl 0074.06204

[9] Kohn, J.J., " Boundary behaviour of ∂ on weakly pseudoconvex manifolds of dimension two ", J. Diff. Geom. 6 (1972), pp. 523-542. | Zbl 0256.35060

[10] Sjöstrand, J., " Singularités analytiques microlocales ", Soc. Math. France, Astérisque 95 (1982), pp. 1-166. | MR 699623 | MR 84m:58151 | Zbl 0524.35007

[11] Trépreau, J.M., " Sur le prolongement holomorphe de fonctions CR définies sur une hypersurface réelle de classe C2 dans Cn " (preprint).