Exponential analytic sets (Q1392326)

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scientific article; zbMATH DE number 1179576
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Exponential analytic sets
scientific article; zbMATH DE number 1179576

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    Exponential analytic sets (English)
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    11 October 1998
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    The paper presents results of the algebraic dimension theory for exponential analytic sets, which, by definition are the set of common zeros of a finite number of entire functions each of which being of the form \[ \sum c_\lambda\exp\langle z,\lambda\rangle, \] where \(c_\lambda\in\mathbb{C}\) and \(\lambda\) runs over a finite subset \(\Lambda\) of the exponent space (i.e., the conjugate space \(\mathbb{C}^{n*})\).
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    exponential sum
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    Newton polygon
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    algebraic dimension
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    exponential analytic sets
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