@article{ASNSP_1999_4_28_3_569_0,
author = {Lupacciolu, Guido},
title = {Envelopes of holomorphy in $\mathbb {C}^2$},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {569--590},
year = {1999},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 28},
number = {3},
mrnumber = {1736528},
zbl = {0946.32005},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1999_4_28_3_569_0/}
}
TY - JOUR
AU - Lupacciolu, Guido
TI - Envelopes of holomorphy in $\mathbb {C}^2$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1999
SP - 569
EP - 590
VL - 28
IS - 3
PB - Scuola normale superiore
UR - https://www.numdam.org/item/ASNSP_1999_4_28_3_569_0/
LA - en
ID - ASNSP_1999_4_28_3_569_0
ER -
%0 Journal Article
%A Lupacciolu, Guido
%T Envelopes of holomorphy in $\mathbb {C}^2$
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1999
%P 569-590
%V 28
%N 3
%I Scuola normale superiore
%U https://www.numdam.org/item/ASNSP_1999_4_28_3_569_0/
%G en
%F ASNSP_1999_4_28_3_569_0
Lupacciolu, Guido. Envelopes of holomorphy in $\mathbb {C}^2$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 3, pp. 569-590. https://www.numdam.org/item/ASNSP_1999_4_28_3_569_0/
[1] , A note on polynomial hull, Proc. Amer. Math. Soc. 33 (1972), 389-391. | Zbl | MR
[2] - , A note on hull, Bull. London Math. Soc. (3) 22 (1990), 258-260. | Zbl | MR
[3] , Complementary components ofpolynominal hulls, Proc. Amer. Math. Soc. 69 (1978), 230-232. | Zbl | MR
[4] - , On the envelope of holomorphy of a 2-sphere in C2, J. Amer. Math. Soc. 4 (1991), 623-646. | Zbl | MR
[5] , Holomorphic convexity and analytic structures in Banach algebras, Ark. Mat. 9 (1971), 39-54. | Zbl | MR
[6] , "Sheaf Theory", McGraw-Hill, New York, 1967. | Zbl | MR
[7] - , Removable Singularities in the Boundary, In: "Contributions to Complex Analysis and Analytic Geometry. Dedicated to Pierre Dolbeault". H. Skoda and J. M. Trépreau (eds.), Vieweg, 1994, pp. 43-104. | Zbl | MR
[8] , "Lectures on Algebraic Topology", Springer-Verlag, Berlin-Heidelberg- New York, 1972. | Zbl | MR
[9] - , A new class of polynomially convex sets, Ark. Mat. 29 (1991), 51-62. | Zbl | MR
[10] - , Whitney's imbedding theorem by solutions of elliptic equations and geometric consequence, Proc. Sympos. Pure Math., Vol. 27, Part 2, Providence, R.I.: Amer. Math. Soc. 1975, pp. 287-296. | Zbl | MR
[11] - , "Analytic Functions of Several Complex Variables", Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. | Zbl | MR
[12] - , Compact holomorphically convex subsets of a Stein manifold, Trans. Amer. Math. Soc. 136 (1969), 509-516. | Zbl | MR
[13] , "An introduction to complex analysis in several variables" (second edition), North-Holland, Amsterdam, 1973. | Zbl | MR
[14] , Removable singularities of CR-functions, Ark. Mat. 26 (1988), 117-143. | Zbl | MR
[15] , Topological properties of q-convex set, Trans. Amer. Math. Soc. 337 (1993), 427-435. | Zbl | MR
[16] , Complements of domains with respect to hulls of outside compact sets, Math. Z. 214 (1993), 117-117. | Zbl | MR
[17] , On the envelopes of holomorphy of strictly Levi-convex hypersurfaces, In: "Colloque d'Analyse Complexe et Géométrie" (Marseille, janvier 1992), Astérisqe 217, Soc. Math. France, 1993, pp. 183-192. | Zbl | MR
[18] , Characterization of removable sets in strongly pseudoconvex boundaries, Ark. Mat. 32 (1994), 455-473. | Zbl | MR
[19] , Holomorphic extension to open hulls, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV), to appear. | Zbl | MR | Numdam
[20] , Affine structures in 3-manifolds, V. The triangulation theorem and Hauptvermutung, Ann. of Math. 56 (1952), 96-114. | Zbl | MR
[21 ] , Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math. 72 (1960), 521-554. | Zbl | MR
[22] , "Elementary Differential Topology" (third printing), Princeton N.J.: Ann. Math. Studies 54, Princeton University Press, 1973. | Zbl | MR
[23] , Removable singularities for the boundary values of holomorphic functions, In: "Several Complex Variable: Proceedings of the Mittag-Leffler Institute, 1987-1988", Princeton, N.J.: Math. Notes 38, Princeton University Press, 1993, pp. 600-629. | Zbl | MR
[24] , Sur les algèbres A0 (D) et A∞ (D) d' un domaine pseudoconvexe non borné, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 10 (1983), 243-256. | Zbl | Numdam





