Auflistung 2018 Nach Schlagwort "Regular function"
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Criteria for Algebraicity of Analytic Functions
[OWP-2018-25] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ... -
Global Variants of Hartogs' Theorem
[OWP-2018-24] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-06)Hartogs' theorem asserts that a separately holomorphic function, defined on an open subset of $\mathbb{C}^n$, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open ... -
Real Analyticity is Concentrated in Dimension 2
[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ...