The Fabry-Ehrenpreis gap theorem for hyperfunctions (Q759965)
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scientific article; zbMATH DE number 3883021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fabry-Ehrenpreis gap theorem for hyperfunctions |
scientific article; zbMATH DE number 3883021 |
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The Fabry-Ehrenpreis gap theorem for hyperfunctions (English)
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1984
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The author proves that, if a hyperfunction given by a suitably lacunary Fourier series happens to vanish on an open set in \({\mathbb{R}}^ n\), then it must vanish identically. The proof makes essential use of linear differential operators of infinite order.
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Fabry-Ehrenpreis gap theorem
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hyperfunction given by a suitably lacunary Fourier series
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linear differential operators of infinite order
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