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On a problem of Moser
Xiaojun Huang and Steven G. Krantz
Source: Duke Math. J. Volume 78, Number 1
(1995), 213-228.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285554
Mathematical Reviews number (MathSciNet): MR1328757
Zentralblatt MATH identifier: 0846.32010
Digital Object Identifier: doi:10.1215/S0012-7094-95-07809-0
References
[BG] E. Bedford and B. Gaveau, Envelopes of holomorphy of certain $2$-spheres in $\bf C\sp2$, Amer. J. Math. 105 (1983), no. 4, 975–1009.
Mathematical Reviews (MathSciNet): MR84k:32016
Zentralblatt MATH: 0596.32019
Digital Object Identifier: doi:10.2307/2374301
JSTOR: links.jstor.org
[BeKl] E. Bedford and W. Klingenberg, On the envelope of holomorphy of a $2$-sphere in $\bf C\sp 2$, J. Amer. Math. Soc. 4 (1991), no. 3, 623–646.
Mathematical Reviews (MathSciNet): MR92j:32034
Zentralblatt MATH: 0736.32009
Digital Object Identifier: doi:10.2307/2939272
JSTOR: links.jstor.org
[Bis] E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1–21.
Mathematical Reviews (MathSciNet): MR34:369
Zentralblatt MATH: 0154.08501
Digital Object Identifier: doi:10.1215/S0012-7094-65-03201-1
Project Euclid: euclid.dmj/1077375631
[Ca] É. Cartan, Sur la géometrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes, Oeuvres complètes Partie II, Vol. 2, Gauthier-Villars, Paris, 1953, pp. 1231–1304.
[Eli] Y. Eliashberg, Filling by holomorphic discs and its applications, Geometry of low-dimensional manifolds, 2 (Durham, 1989), London Math. Soc. Lecture Note Ser., vol. 151, Cambridge Univ. Press, Cambridge, 1990, pp. 45–67.
Mathematical Reviews (MathSciNet): MR93g:53060
Zentralblatt MATH: 0731.53036
[Gr] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347.
Mathematical Reviews (MathSciNet): MR87j:53053
Zentralblatt MATH: 0592.53025
Digital Object Identifier: doi:10.1007/BF01388806
[HT] C. D. Hill and G. Taiani, Families of analytic discs in $\bf C\spn$ with boundaries on a prescribed CR submanifold, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 5 (1978), no. 2, 327–380.
Mathematical Reviews (MathSciNet): MR80c:32023
Zentralblatt MATH: 0399.32008
[HoW] L. Hörmander and J. Wermer, Uniform approximation on compact sets in $C\spn$, Math. Scand. 23 (1968), 5–21 (1969).
Mathematical Reviews (MathSciNet): MR40:7484
Zentralblatt MATH: 0181.36201
[Hu] X. Huang, Geometric analysis in several complex variables, Ph.D. thesis, Washington University, August 1994.
[Kat] Y. Katznelson, An introduction to harmonic analysis, John Wiley & Sons Inc., New York, 1968.
Mathematical Reviews (MathSciNet): MR40:1734
Zentralblatt MATH: 0169.17902
[KrP] S. G. Krantz and H. R. Parks, A primer of real analytic functions, Basler Lehrbücher [Basel Textbooks], vol. 4, Birkhäuser Verlag, Basel, 1992.
Mathematical Reviews (MathSciNet): MR93j:26013
Zentralblatt MATH: 0767.26001
[KW] C. Kenig and S. Webster, The local hull of holomorphy of a surface in the space of two complex variables, Invent. Math. 67 (1982), no. 1, 1–21.
Mathematical Reviews (MathSciNet): MR84c:32014
Zentralblatt MATH: 0489.32007
Digital Object Identifier: doi:10.1007/BF01393370
[Lem] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), no. 4, 427–474.
Mathematical Reviews (MathSciNet): MR84d:32036
Zentralblatt MATH: 0492.32025
[Mos] J. Moser, Analytic surfaces in $\bf C\sp 2$ and their local hull of holomorphy, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 397–410.
Mathematical Reviews (MathSciNet): MR87c:32024
Zentralblatt MATH: 0585.32007
[MoW] J. Moser and S. Webster, Normal forms for real surfaces in $\bf C\sp2$ near complex tangents and hyperbolic surface transformations, Acta Math. 150 (1983), no. 3-4, 255–296.
Mathematical Reviews (MathSciNet): MR85c:32034
Zentralblatt MATH: 0519.32015
Digital Object Identifier: doi:10.1007/BF02392973
[Rud] W. Rudin, Functional analysis, McGraw-Hill Book Co., New York, 1973.
Mathematical Reviews (MathSciNet): MR51:1315
Zentralblatt MATH: 0253.46001
[Stolz] G. Stolzenberg, A hull with no analytic structure, J. Math. Mechnics 12 (1963), 103–111.
Mathematical Reviews (MathSciNet): MR26:627
Zentralblatt MATH: 0113.29101
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