Generic manifolds with respect to differential systems (Q1192087)
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scientific article; zbMATH DE number 60492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic manifolds with respect to differential systems |
scientific article; zbMATH DE number 60492 |
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Generic manifolds with respect to differential systems (English)
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27 September 1992
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The author introduces the notion of generic subvariety \(S\) with respect to a system \(M\) of differential equations (= the non-characteristic variety in usual terminology), and gives the relation between various kinds of microfunction solutions of \(M\) and those of the induced system \(M^ b\) on \(S\). When \(M\) is the Cauchy-Riemann system, the present result can be applied to regain results of D'Agnolo-D'Ancona-Zampieri, hence some results on the extension of holomorphic functions.
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system of differential equations
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microfunction solutions
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extension of holomorphic functions
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