Improper intersection of analytic curves.
Krasiński, Tadeusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Displaying similar documents to “On the intersection product of analytic cycles”
Improper intersection of analytic curves.
Intersection theory in complex analytic geometry
Piotr Tworzewski (1995)
Annales Polonici Mathematici
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We present a construction of an intersection product of arbitrary complex analytic cycles based on a pointwise defined intersection multiplicity.
A counterexample to subanalyticity of an arc-analytic function
Krzysztof Kurdyka (1991)
Annales Polonici Mathematici
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We construct an arc-analytic function (i.e. a function analytic on each analytic arc) whose graph is not subanalytic.
Analytic cell decomposition of sets definable in the structure
Ta Lê Loi (1994)
Annales Polonici Mathematici
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We prove that every set definable in the structure can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.
Analytic solutions of a first order functional differential equation with a state derivative dependent delay.
Zhang, Pingping (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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An arc-analytic function with nondiscrete singular set
Krzysztof Kurdyka (1994)
Annales Polonici Mathematici
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We construct an arc-analytic function (i.e. analytic on every real-analytic arc) in ℝ² which is analytic outside a nondiscrete subset of ℝ².
Some properties of certain analytic functions.
Nishiwaki, Junichi, Owa, Shigeyoshi (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Plurisubharmonic extension in non-degenerate analytic polyhedra.
Åhag, Per, Czyż, Rafał, Lodin, Sam, Wikström, Frank (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Isolated intersection multiplicity and regular separation of analytic sets
Piotr Tworzewski (1993)
Annales Polonici Mathematici
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An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.
Constructible functions on 2-dimensional analytic manifolds.
Isabelle Bonnard, Federica Pieroni (2004)
Revista Matemática Complutense
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We present a characterization of sums of signs of global analytic functions on a real analytic manifold M of dimension two. Unlike the algebraic case, obstructions at infinity are not relevant: a function is a sum of signs on M if and only if this is true on each compact subset of M. This characterization gives a necessary and sufficient condition for an analytically constructible function, i.e. a linear combination with integer coefficients of Euler characteristic of fibers of proper...
On convex operator for -analytic functions.
Khan, Mumtaz Ahmad, Najmi, M. (2002)
Novi Sad Journal of Mathematics
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Some new classes of analytic functions defined by mean of a convolution operator.
Hussain, Saquib (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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A subclass of analytic functions defined by differential Sălăgean operator.
Alb Lupaş, Alina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Singular sets of separately analytic functions
Zbigniew Błocki (1992)
Annales Polonici Mathematici
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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.
On the Łojasiewicz exponent for analytic curves
Jacek Chądzyński, Tadeusz Krasiński (1998)
Banach Center Publications
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An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.