On the \(C^{\infty}\)-singularities of regular holonomic distributions (Q806136)
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scientific article; zbMATH DE number 4205466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(C^{\infty}\)-singularities of regular holonomic distributions |
scientific article; zbMATH DE number 4205466 |
Statements
On the \(C^{\infty}\)-singularities of regular holonomic distributions (English)
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1992
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The analytic and \({\mathcal C}^{\infty}\) wave-front sets of a distribution which is a solution of a regular holonomic differential system are shown to coincide. This is used to solve a problem of Hörmander on hyperbolic operators. More generally, comparison theorems for solutions of a regular holonomic system of microdifferential equations in various spaces of microfunctions are given, as a simple extension of a result of Kashiwara.
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wave-front sets
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regular holonomic module
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distribution
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