@article{RSMUP_2010__123__69_0, author = {Altomani, Andrea and Denson Hill, C. and Nacinovich, Mauro and Porten, Egmont}, title = {Holomorphic extension from weakly pseudoconcave CR manifolds}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {124}, year = {2010}, pages = {69-90}, mrnumber = {2683292}, zbl = {pre05780245}, zbl = {1210.32016}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__69_0} }
Altomani, Andrea; Denson Hill, C.; Nacinovich, Mauro; Porten, Egmont. Holomorphic extension from weakly pseudoconcave CR manifolds. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 69-90. http://gdmltest.u-ga.fr/item/RSMUP_2010__123__69_0/
[AMN] The CR structure of minimal orbits in complex flag manifolds, J. Lie Theory, 16 (2006), pp. 483--530. | MR 2248142 | Zbl 1120.32023
- - ,[BR] Cauchy Riemann functions on manifolds of higher codimension in complex space, Invent. Math., 101 (1990), pp. 45--56. | MR 1055709 | Zbl 0712.32009
- ,[BT1] A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. Math., 113 (1981), pp. 387--421. | MR 607899 | Zbl 0491.35036
- ,[BT2] About the holomorphic extension of CR functions on real hypersurfaces in complex space, Duke Math. J., 51, no. 1 (1984), pp. 77--107. | MR 744289 | Zbl 0564.32011
- ,[B] Differentiable manifolds in complex Euclidean space, Duke Math. J., 32 (1965), pp. 1--21. | MR 200476 | Zbl 0154.08501
,[Bo] CR extendability near a point where the first Levi form vanishes, Duke Math. J., 48 (1981), pp. 665--684. | MR 630590 | Zbl 0509.32006
,[BP] Holomorphic extensions of functions, Duke Math. J., 49 (1982), pp. 757--784. | MR 683002 | Zbl 0506.32003
- ,[DS] Wedge removability of metrically thin sets and application to the CR meromorphic extension, Math. Z., 238 (2001), pp. 639--653. | MR 1869700 | Zbl 1002.32027
- ,[DH] Chai^nes holomorphes de bord donné dans un ouvert q-concave de , Bull. Soc. Math. France, 125 (1997), pp. 383--445. | Numdam | MR 1605457 | Zbl 0942.32007
- ,[FR] Local holomorphic extendability and nonextendability of CR-functions on smooth boundaries, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 12, no. 3 (1985), pp. 491--502. | Numdam | MR 837258 | Zbl 0587.32035
- ,[HL] On boundaries of complex analytic varieties, Part II, Ann. Math., 106 (1977), pp. 213--238. | MR 499285 | Zbl 0361.32010
- ,[HN1] A weak pseudoconcavity condition for abstract almost CR manifolds, Invent. Math., 142 (2000), pp. 251--283. | MR 1794063 | Zbl 0973.32018
- ,[HN2] Fields of CR meromorphic functions, Rend. Sem. Mat. Univ. Padova, 111 (2004), pp. 179--204. | Numdam | MR 2076739 | Zbl 1121.32018
- ,[HN3] Elementary pseudoconcavity and fields of CR meromorphic functions, Rend. Sem. Mat. Univ. Padova, 113 (2005), pp. 99--115. | Numdam | MR 2168982 | Zbl 1167.32301
- ,[HN4] Conormal suspensions of differential complexes, J. Geom. Anal., 10, 3 (2000), pp. 496--537. | MR 1794574 | Zbl 0989.58007
- ,[HT] Families of analytic discs in with boundaries on a prescribed CR submanifold, Ann. Sc. Norm. Pisa, 5 (1978), pp. 327--380. | Numdam | MR 501906 | Zbl 0399.32008
- ,[J] Deformation of CR-manifolds, minimal points and CR-manifolds with the microlocal analytic extension property, J. Geom. Anal., 6 (1996), pp. 555--611. | MR 1601405 | Zbl 0917.32007
,[MN1] Levi-Tanaka algebras and homogeneous CR manifolds, Compositio Mathematica, 109 (1997), pp. 195--250. | MR 1478818 | Zbl 0955.32029
- ,[MN2] Classification of semisimple Levi-Tanaka algebras, Ann. Mat. Pura Appl., CLXXIV (1998), pp. 285--349. | MR 1746933 | Zbl 0999.17039
- ,[MN3] Complete nondegenerate locally standard CR manifolds, Math. Ann., 317 (2000), pp. 509--526. | MR 1776115 | Zbl 1037.32031
- ,[MN4] Algebras of infinitesimal CR automorphisms, J. Algebra, 287 (2005), pp. 234--274. | MR 2134266 | Zbl 1132.32013
- ,[M] Global minimality of generic manifolds and holomorphic extendibility of CR functions, IMRN, 8 (1994), pp. 329--342. | MR 1289578 | Zbl 0815.32007
,[MP1] On the local meromorphic extension of CR meromorphic mappings, Ann. Polon. Math., 70 (1998), pp. 163--193. | MR 1668724 | Zbl 0927.32024
- ,[MP2] Metrically thin singularities of integrable CR functions, Internat. J. Math., 11 (2000), pp. 857--872. | MR 1792956 | Zbl 0967.32010
- ,[MP3] Characteristic foliations on maximally real submanifolds of and removable singularities for CR functions, IMRP, Volume 2006 (2006), Article ID 72069, pp.1--131. | MR 2268488 | Zbl 1122.32023
- ,[MP4] Holomorphic Extension of CR Functions, Envelopes of Holomorphy, and Removable Singularities, IMRS, Volume 2006 (2006), Article ID 28925, pp.1--286. | MR 2270252 | Zbl 1149.32019
- ,[NV] Tangential Cauchy-Riemann complexes on distributions, Ann. Mat. Pura Appl., 146 (1987), pp. 123--160. | MR 916690 | Zbl 0631.58024
- ,[S] The FBI transform for CR submanifolds of , Prépublications Mathématiques Orsay 1982.
,[T1] Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface reelle de classe , Invent. Math., 83 (1986), pp. 583--592. | MR 827369 | Zbl 0586.32016
,[T2] Sur la propagation des singularités dans les variétés CR, Bull. Soc. Math. Fr., 118 (1990), pp. 403--450. | Numdam | MR 1090408 | Zbl 0742.58053
,[T] Hypoanalytic Structures: Local Theory, Princeton Univ. Press 1992. | MR 1200459 | Zbl 0787.35003
,[Tu1] Extension of CR-functions into a wedge from a manifold of finite type, Math. USSR Sb., 64 (1989), pp. 129--140. | MR 945904 | Zbl 0692.58005
,[Tu2] On the propagation of extendability of CR functions, Complex Analysis and Geometry, Proc. of the Conference in Trento 1995. Lecture Notes in Pure and Appl. Math., 173 (Dekker 1996), pp. 479--498. | Zbl 0849.32013
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