Extension of correspondences between rigid polynomial domains

 Access to full text

 Full (PDF)

1. [1] Bedford ( E. ), Bell ( S.). — Boundary behavior of proper holomorphic correspondences, Math. Ann.272, p. 505-518 (1985). Zbl0582.32024MR807287
2. [2] Bedford ( E. ) , Bell ( S. ). - Boundary continuity of proper holomorphic correspondences, Lecture Notes in Mathematics , 1198, p. 47-64 (1983- 84). Zbl0596.32027MR874760
3. [3] Bedford ( E. ), Fornaess ( J.E.). — A construction of peak functions on weakly pseudoconvex domains, Ann. of Math.107, p. 555-568 (1978). Zbl0392.32004MR492400
4. [4] Bedford ( E. ), Pinchuk ( S.). — Domains in Cn+1 with non-compact automorphisms group, J. Geom. Anal.1, p. 165-191 (1991). Zbl0733.32014MR1120679
5. [5] Berteloot ( F.), Sukhov ( A.). - On the continuous extension of holomorphic correspondences, Ann. Scuola Norm. Sup. PisaXXIV, p. 747-766 (1997). Zbl0911.32021MR1627322
6. [6] Catlin ( D. ). — Boundary invariants of pseudoconvex domains, Ann. of Math., 120, p. 529-586 (1984). Zbl0583.32048MR769163
7. [7] Chirka ( E.M.). — Complex Analytic Sets, Kluwer Academic Publishers (1989). Zbl0683.32002MR1111477
8. [8] Coupet ( B.), Pinchuk ( S.). - 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). Zbl1057.32008
9. [9] Diederich ( K.), Fornaess ( J.E.). — Proper holomorphic mappings between real analytic pseudoconvex domains in CnMath. Ann.282, p. 681-700 (1988). Zbl0661.32025MR970228
10. [10] Diederich ( K.), Fornaess ( J.E.). — Applications holomorphes propres entre domaines à bord analytique réel. C. R. Acad. Sci.307, p. 681-700 (1988). Zbl0656.32013MR958790
11. [11] Diederich ( K.), Pinchuk ( S.). — Regularity of continuous CR-maps in arbitrary dimension, Michigan Math. J.51, no.1, p. 111-140 (2003). Zbl1044.32011MR1960924
12. [12] Diederich ( K.), Pinchuk ( S.). — Proper holomorphic maps in dimension 2 extend, Indiana Univ. Math. J.44, p. 1089-1126 (1995). Zbl0857.32015MR1386762
13. [13] Diederich ( K.), Webster ( S.). — A reflexion principle for degenerate real hypersurfaces, Duke Math. J.47, p. 835-845 (1980). Zbl0451.32008MR596117
14. [14] Pinchuk ( S.). — On the boundary behavior of analytic set and algebroid mappings. Soviet Math. Dokl. Akad. Nauk USSR268, p. 296-298 (1983). Zbl0577.32008MR688243
15. [15] Pinchuk ( S.). — Holomorphic mappings in Cn and the problem of holomorphic equivalence, Encyl. Math. Sci.9, p. 173-199 (1989). Zbl0658.32011
16. [16] Pinchuk ( S.). — On the analytic continuation of holomorphic mappings, Math. USSR Sb.27, p. 375-392 (1975). Zbl0366.32010
17. [17] Pinchuk ( S.), Tsyganov ( Sh.). — Smoothness of CR mappings between strongly pseudoconvex hypersurfaces, Math. USSR Izvestga35, p. 457-467 (1990). Zbl0712.32016MR1024457
18. [18] Sibony ( N. ). — Une classe de domaines pseudoconvexes , Duke Math. Journal, Vol. 55, No.2, p. 299-319 (1987). Zbl0622.32016MR894582
19. [19] Shafikov ( R.). - Analytic continuation of Germs of Holomorphic Mappings, Michigan Math. J.47. (2000). Zbl0966.32007MR1755261
20. [20] Shafikov ( R.). - Analytic continuation of holomorphic correspondences and equivalence of domains in Cn, Invent. Math.152, p. 665-682 (2003). Zbl1024.32008MR1988297
21. [21] Shafikov ( R.), Verma ( K.). — A local extension theorem for proper holomorphic mappings in C2, J. Geom. Anal.13, no.4, p. 697-714 (2003). Zbl1049.32023MR2005160
22. [22] Rudin ( W.). — Function theory in polydiscs, Mathematics lecture note in series. Zbl0177.34101
23. [23] Webster ( S.). — On the mapping problem for algebraic real hypersurfaces, Invent. Math.43, p. 53-68 (1977). Zbl0348.32005MR463482
24. [24] Verma ( K. ). - Boundary regularity of correspondences in C2, Math. Z.231, p. 253-299 (1999). Zbl0939.32014MR1703349
25. [25] Zaitsev ( D.). — Algebraicity of local holomorphisms between real algebraic sub-manifolds of complex spaces, Acta Math.183, p. 273-305 (1999). Zbl1005.32014MR1738046