The zero set of a real analytic function (Q2191998)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The zero set of a real analytic function |
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The zero set of a real analytic function (English)
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26 June 2020
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The author provides an elementary proof of the following result: Let \(A(x)\) be a real-analytic function on a connected open domain \(U\) of \({\mathbb R}^d\). If \(A\) is not identically zero, then its zero set \(\{x \in U : A(x)=0\}\) has measure zero.
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measure-zero sets
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real-analytic functions
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implicit function theorem
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