@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}, publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 14}, number = {3}, year = {2005}, zbl = {1109.32014}, mrnumber = {2172588}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_501_0/} }
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/item/AFST_2005_6_14_3_501_0/ 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/item/AFST_2005_6_14_3_501_0/ %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. https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_501_0/
[1] Boundary behavior of proper holomorphic correspondences, Math. Ann. 272, p. 505-518 (1985). | MR | Zbl
, -[2] Boundary continuity of proper holomorphic correspondences, Lecture Notes in Mathematics , 1198, p. 47-64 (1983- 84). | MR | Zbl
, -[3] A construction of peak functions on weakly pseudoconvex domains, Ann. of Math. 107, p. 555-568 (1978). | MR | Zbl
, -[4] Domains in Cn+1 with non-compact automorphisms group, J. Geom. Anal. 1, p. 165-191 (1991). | MR | Zbl
, -[5] On the continuous extension of holomorphic correspondences, Ann. Scuola Norm. Sup. Pisa XXIV, p. 747-766 (1997). | Numdam | MR | Zbl
, -[6] Boundary invariants of pseudoconvex domains, Ann. of Math., 120, p. 529-586 (1984). | MR | Zbl
-[7] Complex Analytic Sets, Kluwer Academic Publishers (1989). | MR | Zbl
-[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). | MR | Zbl
, -[10] Applications holomorphes propres entre domaines à bord analytique réel. C. R. Acad. Sci. 307, p. 681-700 (1988). | MR | Zbl
, -[11] Regularity of continuous CR-maps in arbitrary dimension, Michigan Math. J. 51, no.1, p. 111-140 (2003). | MR | Zbl
, -[12] Proper holomorphic maps in dimension 2 extend, Indiana Univ. Math. J. 44, p. 1089-1126 (1995). | MR | Zbl
, -[13] A reflexion principle for degenerate real hypersurfaces, Duke Math. J. 47, p. 835-845 (1980). | MR | Zbl
, -[14] On the boundary behavior of analytic set and algebroid mappings. Soviet Math. Dokl. Akad. Nauk USSR 268, p. 296-298 (1983). | MR | Zbl
-[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). | MR | Zbl
, -[18] Une classe de domaines pseudoconvexes , Duke Math. Journal, Vol. 55, No.2, p. 299-319 (1987). | MR | Zbl
-[19] Analytic continuation of Germs of Holomorphic Mappings, Michigan Math. J. 47. (2000). | MR | Zbl
-[20] Analytic continuation of holomorphic correspondences and equivalence of domains in Cn, Invent. Math. 152, p. 665-682 (2003). | MR | Zbl
-[21] A local extension theorem for proper holomorphic mappings in C2, J. Geom. Anal. 13, no.4, p. 697-714 (2003). | MR | Zbl
, -[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). | MR | Zbl
-[24] Boundary regularity of correspondences in C2, Math. Z. 231, p. 253-299 (1999). | MR | Zbl
-[25] Algebraicity of local holomorphisms between real algebraic sub-manifolds of complex spaces, Acta Math. 183, p. 273-305 (1999). | MR | Zbl
-