Osgood-Hartogs-theorems of mixed type (Q923766)
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scientific article; zbMATH DE number 4171321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Osgood-Hartogs-theorems of mixed type |
scientific article; zbMATH DE number 4171321 |
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Osgood-Hartogs-theorems of mixed type (English)
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1990
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The authors consider problems of the following kind. Let \(f,f_ 1,...,f_ r\) be analytic functions on an analytic manifold M. If the restrictions \(f| A\) to a family of analytic curves A are polynomials in \(f_ 1/A,...,f_ r/A\), when can we conclude that f is a polynomial in \(f_ 1,...,f_ r\)?
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series of analytic functions
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polynomial
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