Continuation of analytic solutions of linear differential equations up to convex conical singularities
Motoo Uchida (1993)
Bulletin de la Société Mathématique de France
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Motoo Uchida (1993)
Bulletin de la Société Mathématique de France
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P. J. de Paepe (1974)
Compositio Mathematica
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C. Bànicà, O. Stànàsilà (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Terrence Napier, Mohan Ramachandran (2001)
Annales de l’institut Fourier
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Suppose is a real analytic plurisubharmonic exhaustion function on a connected noncompact complex manifold . The main result is that if the real analytic set of points at which is not strongly -convex is of dimension at most , then almost every sufficiently large sublevel of is strongly -convex as a complex manifold. For of dimension , this is a special case of a theorem of Diederich and Ohsawa. A version for real analytic with corners is also obtained.
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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G. Belitskii, V. Tkachenko (2000)
Studia Mathematica
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The equation φ (x) = g(x,φ (x)) in spaces of real-analytic functions is considered. Connections between local and global aspects of its solvability are discussed.