Displaying similar documents to “A remark on the identity principle for analytic sets”

An extension theorem with analytic singularities for generalized (N,k)-crosses

Arkadiusz Lewandowski (2012)

Annales Polonici Mathematici

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The main result of the paper is a new Hartogs type extension theorem for generalized (N,k)-crosses with analytic singularities for separately holomorphic functions and for separately meromorphic functions. Our result is a simultaneous generalization of several known results, from the classical cross theorem, through the extension theorem with analytic singularities for generalized crosses, to the cross theorem with analytic singularities for meromorphic functions.

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.