The differential equation \(y'=fy\) in the algebras \(H(D)\) (Q803210)
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scientific article; zbMATH DE number 4200344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The differential equation \(y'=fy\) in the algebras \(H(D)\) |
scientific article; zbMATH DE number 4200344 |
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The differential equation \(y'=fy\) in the algebras \(H(D)\) (English)
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1988
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Let \(K\) be an algebraically closed field, complete with respect to a non-archimedean valuation. For suitable subsets \(D\subset K\) one can define a Banach algebra \(H(D)\) of analytic elements on \(D\). The differential equation \(y'=fy\) with \(f\in H(D)\) is studied, as well as the space of its solutions.
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algebraically closed field
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non-archimedean valuation
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Banach algebra
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analytic elements
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differential equation
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