On the number of zeros of an analytic perturbation of the identically zero function on a compact set (Q1033896)
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scientific article; zbMATH DE number 5628134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of zeros of an analytic perturbation of the identically zero function on a compact set |
scientific article; zbMATH DE number 5628134 |
Statements
On the number of zeros of an analytic perturbation of the identically zero function on a compact set (English)
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10 November 2009
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The main result of this paper is Theorem 1, which establishes an upper bound for the number of isolated zeros of an analytic perturbation \(f (z,t)\) of the function \(f(z,0) \equiv 0\) on a compact set \(\{z \in K \Subset {\mathbb C}\}\) when the parameter \(t \in {\mathbb C^n}\) takes small values.
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analytic perturbation
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isolated zeros
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