On continuation of regular solutions of linear partial differential equations
Akira Kaneko (1992)
Banach Center Publications
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Akira Kaneko (1992)
Banach Center Publications
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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...
Åhag, Per, Czyż, Rafał, Lodin, Sam, Wikström, Frank (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Nishiwaki, Junichi, Owa, Shigeyoshi (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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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.
Khan, Mumtaz Ahmad, Najmi, M. (2002)
Novi Sad Journal of Mathematics
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Hussain, Saquib (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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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.
Zhang, Pingping (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Baklouti, Hamadi, Mnif, Maher (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Krasiński, Tadeusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Sławomir Rams (2000)
Annales Polonici Mathematici
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We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).
I. V. Maresin, A. G. Sergeev (1998)
Annales Polonici Mathematici
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Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan’s theorem on the holomorphic convexity of totally real domains in .
Alb Lupaş, Alina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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