A class of globally hypoelliptic operators on the torus (Q1102442)
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scientific article; zbMATH DE number 4050108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of globally hypoelliptic operators on the torus |
scientific article; zbMATH DE number 4050108 |
Statements
A class of globally hypoelliptic operators on the torus (English)
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1989
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The author obtains a class of operators on the torus for which a necessary and sufficient condition for the global hypoellipticity is given by a Siegel condition. Then, he studies a class of operators which do not satisfy a Siegel condition. These operators are not hypoelliptic, nor satisfy a so-called Hörmander condition but they are still globally hypoelliptic.
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regularity
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operators on the torus
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global hypoellipticity
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Siegel condition
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Hörmander condition
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