Łojasiewicz ideals in Denjoy-Carleman classes (Q2839268)
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scientific article; zbMATH DE number 6184242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Łojasiewicz ideals in Denjoy-Carleman classes |
scientific article; zbMATH DE number 6184242 |
Statements
4 July 2013
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Łojasiewicz ideals
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ultradifferentiable functions
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Łojasiewicz ideals in Denjoy-Carleman classes (English)
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Łojasiewicz ideals play an important role among ideals of algebras of differentiable functions. The author of the paper under review uses an approach to Łojasiewicz ideals in non-quasianalytic Denjoy-Carleman classes. He obtains among principal ideals a characterization of Łojasiewicz ideals in terms of properties of a generator \(\varphi\). It turns out that the Łojasiewicz inequality should be replaced with another condition that involves successive derivatives of \(1/\varphi\).
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