@article{AFST_2005_6_14_3_501_0,
author = {Nabil Ourimi},
title = {Extension of correspondences between rigid polynomial domains},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {501--514},
year = {2005},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 14},
number = {3},
doi = {10.5802/afst.1100},
mrnumber = {2172588},
zbl = {1109.32014},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1100/}
}
TY - JOUR AU - Nabil Ourimi TI - Extension of correspondences between rigid polynomial domains JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 501 EP - 514 VL - 14 IS - 3 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1100/ DO - 10.5802/afst.1100 LA - en ID - AFST_2005_6_14_3_501_0 ER -
%0 Journal Article %A Nabil Ourimi %T Extension of correspondences between rigid polynomial domains %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 501-514 %V 14 %N 3 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1100/ %R 10.5802/afst.1100 %G en %F AFST_2005_6_14_3_501_0
Nabil Ourimi. Extension of correspondences between rigid polynomial domains. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 3, pp. 501-514. doi: 10.5802/afst.1100
[1] , - Boundary behavior of proper holomorphic correspondences, Math. Ann. 272, p. 505-518 (1985). | Zbl | MR
[2] , - Boundary continuity of proper holomorphic correspondences, Lecture Notes in Mathematics , 1198, p. 47-64 (1983- 84). | Zbl | MR
[3] , - A construction of peak functions on weakly pseudoconvex domains, Ann. of Math. 107, p. 555-568 (1978). | Zbl | MR
[4] , - Domains in Cn+1 with non-compact automorphisms group, J. Geom. Anal. 1, p. 165-191 (1991). | Zbl | MR
[5] , - On the continuous extension of holomorphic correspondences, Ann. Scuola Norm. Sup. Pisa XXIV, p. 747-766 (1997). | Numdam | Zbl | MR
[6] - Boundary invariants of pseudoconvex domains, Ann. of Math., 120, p. 529-586 (1984). | Zbl | MR
[7] - Complex Analytic Sets, Kluwer Academic Publishers (1989). | Zbl | MR
[8] , - Holomorphic equivalence problem for weighted homogeneous rigid domains in Cn+1, in collection of papers dedicated to B. V. Shabat, Nauka, Moscow, p. 111-126 (1997). | Zbl
[9] , - Proper holomorphic mappings between real analytic pseudoconvex domains in Cn Math. Ann. 282, p. 681-700 (1988). | Zbl | MR
[10] , - Applications holomorphes propres entre domaines à bord analytique réel. C. R. Acad. Sci. 307, p. 681-700 (1988). | Zbl | MR
[11] , - Regularity of continuous CR-maps in arbitrary dimension, Michigan Math. J. 51, no.1, p. 111-140 (2003). | Zbl | MR
[12] , - Proper holomorphic maps in dimension 2 extend, Indiana Univ. Math. J. 44, p. 1089-1126 (1995). | Zbl | MR
[13] , - A reflexion principle for degenerate real hypersurfaces, Duke Math. J. 47, p. 835-845 (1980). | Zbl | MR
[14] - On the boundary behavior of analytic set and algebroid mappings. Soviet Math. Dokl. Akad. Nauk USSR 268, p. 296-298 (1983). | Zbl | MR
[15] - Holomorphic mappings in Cn and the problem of holomorphic equivalence, Encyl. Math. Sci.9, p. 173-199 (1989). | Zbl
[16] - On the analytic continuation of holomorphic mappings, Math. USSR Sb. 27, p. 375-392 (1975). | Zbl
[17] , - Smoothness of CR mappings between strongly pseudoconvex hypersurfaces, Math. USSR Izvestga 35, p. 457-467 (1990). | Zbl | MR
[18] - Une classe de domaines pseudoconvexes , Duke Math. Journal, Vol. 55, No.2, p. 299-319 (1987). | Zbl | MR
[19] - Analytic continuation of Germs of Holomorphic Mappings, Michigan Math. J. 47. (2000). | Zbl | MR
[20] - Analytic continuation of holomorphic correspondences and equivalence of domains in Cn, Invent. Math. 152, p. 665-682 (2003). | Zbl | MR
[21] , - A local extension theorem for proper holomorphic mappings in C2, J. Geom. Anal. 13, no.4, p. 697-714 (2003). | Zbl | MR
[22] - Function theory in polydiscs, Mathematics lecture note in series. | Zbl
[23] - On the mapping problem for algebraic real hypersurfaces, Invent. Math. 43, p. 53-68 (1977). | Zbl | MR
[24] - Boundary regularity of correspondences in C2, Math. Z. 231, p. 253-299 (1999). | Zbl | MR
[25] - Algebraicity of local holomorphisms between real algebraic sub-manifolds of complex spaces, Acta Math. 183, p. 273-305 (1999). | Zbl | MR
Cité par Sources :