A smoothness theorem for invariant fiber bundles (Q700799)
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scientific article; zbMATH DE number 1812508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A smoothness theorem for invariant fiber bundles |
scientific article; zbMATH DE number 1812508 |
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A smoothness theorem for invariant fiber bundles (English)
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8 October 2002
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The authors present an existence and smoothness theorem for invariant fiber bundles. The theorem generalizes known results on invariant manifolds in several respects, as it covers the non-invertible, infinite dimensional, time-dependent case within the discrete setting. The smoothness part of the paper is thoroughly based on a technically involved application of a Banach scale fixed-point theorem.
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invariant fiber bundles
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smoothness
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difference equations
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Hadamard-Perron theorem
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