# On a problem of Moser

@article{Huang1995OnAP,
title={On a problem of Moser},
author={Xiaojun Huang and Steven G. Krantz},
journal={Duke Mathematical Journal},
year={1995},
volume={78},
pages={213-228}
}
• Published 1 April 1995
• Mathematics
• Duke Mathematical Journal
1 0 Introduction This paper studies the analytic structure of the local hull of holomorphy of a 2-dimensional, real analytic manifold that is embedded in C 2. Our specific purpose is to solve a problem of Jurgen Moser (see [MOS], [MOW]). [In the statement of this problem we shall use certain standard terminology from the literature that will be defined later.] The result is: THEOREM 0.1 Let M be a 2-dimensional, real analytic embedded submanifold of C 2. Suppose that z 0 ∈ M is a non-degenerate…
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## References

SHOWING 1-10 OF 27 REFERENCES
Geometric analysis in several complex variables
• Mathematics
• 1994
In this thesis, we answer several questions in the function theory of several complex variables which possess local geometric features but which need global non-linear analysis method for the
Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations
• Mathematics
• 1983
It is well known that the complex analytical properties of a real submanifold M in the complex space C n are most accessible through consideration of the complex tangents to M. The properties we have
Analytic surfaces in C^2 and their local hull of holomorphy
a) We consider real analylic surfaces M (i.e. dim*M:2) in C2. Two such surfaces M, ft are called equivalent if they can be mapped into each olher by a mapping which is biholomorphic in the complex
Geometry of Low-dimensional Manifolds: Filling by holomorphic discs and its applications
The survey is devoted to application of the technique of filling by holomorphic discs to different symplectic and complex analytic problems. COMPLEX AND SYMPLECTIC RECOLLECTIONS J -Convexity Let X, J
Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions
A Primer of Real Analytic Functions
• Mathematics
• 1992
Preface to the Second Edition * Preface to the First Edition * Elementary Properties * Multivariable Calculus of Real Analytic Functions * Classical Topics * Some Questions of Hard Analysis * Results
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
A DECOMPOSITION THEOREM FOR PARTIALLY ORDERED SETS
Otherwise a and b are non-comparable. A subset S of P is independent if every two distinct elements of S are non-comparable. S is dependent if it contains two distinct elements which are comparable.
La métrique de Kobayashi et la représentation des domaines sur la boule
© Bulletin de la S. M. F., 1981, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord
WASHINGTON University.
• Engineering
The Physical therapy review
• 1953
Computer automated radioactive particle tracking (CARPT) and Computational Fluid Dynamics (CFD) are used to study the effects of operating variables, designs, internals, and scales on the mixing pattern and hydrodynamics of the anaerobic digesters.