The Łojasiewicz exponent of an analytic mapping of two complex variables at an isolated zero
Jacek Chadzyński, Tadeusz Krasiński (1988)
Banach Center Publications
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Displaying similar documents to “Continuity of intersection of analytic sets”
The Łojasiewicz exponent of an analytic mapping of two complex variables at an isolated zero
Analytic continuation for some classes of separately analytic functions of real variables
Nguyen Thanh Van (2003)
Annales Polonici Mathematici
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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
A note on Liouville analytic spaces
Sławomir Cynk (1990)
Annales Polonici Mathematici
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On asymptotic solutions of analytic equations
Jacek Stasica (2003)
Annales Polonici Mathematici
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Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.
Extendability of C. R. functions : a microlocal version of Bochner's tube theorem
Mohamed S. Baouendi (1981)
Journées équations aux dérivées partielles
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Fréchet-valued analytic functions and linear topological invariants.
Nguyen Van Dong, Nguyen Thai Son (1998)
Portugaliae Mathematica
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Removable singularities and Liouville-type property of analytic multivalued functions
Tran Ngoc Giao (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Generalized iterated function systems, multifunctions and Cantor sets
Maciej Klimek, Marta Kosek (2009)
Annales Polonici Mathematici
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Using a construction similar to an iterated function system, but with functions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description of a trivial analytic multifunction.
Families of analytic discs in with boundaries on a prescribed submanifold
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Boundary Analyticity of Proper Holomorphic Maps of Domains with Non-Analytic Boundaries.
David E. Barrett (1983)
Mathematische Annalen
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Recent developments in the theory of separately holomorphic mappings
Viêt-Anh Nguyên (2009)
Colloquium Mathematicae
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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.
A remark on the identity principle for analytic sets
Marek Jarnicki, Peter Pflug (2011)
Colloquium Mathematicae
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We present a version of the identity principle for analytic sets, which shows that the extension theorem for separately holomorphic functions with analytic singularities follows from the case of pluripolar singularities.
Bounded analytic sets in Banach spaces
Volker Aurich (1986)
Annales de l'institut Fourier
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Conditions are given which enable or disable a complex space to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of .