Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators (Q1183200)
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scientific article; zbMATH DE number 32946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators |
scientific article; zbMATH DE number 32946 |
Statements
Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators (English)
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28 June 1992
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Normal forms of holomorphic matrix-valued functions \(A(z)\) under different classes of similarity transformations are investigated. The transformers are analytic on a reduced neighbourhood of the origin, say, with at most a pole singularity at the origin. Also the case that the origin is a finite branch-point is investigated. A special role is played by the Arnold normal form.
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Normal forms
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holomorphic matrix-valued functions
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similarity transformations
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finite branch-point
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Arnold normal form
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