Systems of partial differential equations in the space of functions analytic in a ball and having given growth near its boundary (Q1077641)
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scientific article; zbMATH DE number 3957815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Systems of partial differential equations in the space of functions analytic in a ball and having given growth near its boundary |
scientific article; zbMATH DE number 3957815 |
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Systems of partial differential equations in the space of functions analytic in a ball and having given growth near its boundary (English)
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1985
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Some spaces of analytic functions in a sphere and their duals are considered. This sphere is in \({\mathbb{C}}^ n\). Let \(\vec {\mathcal P}(\partial /\partial z)\) be a polynomial matrix operator. The author gives some necessary and sufficient conditions for the solvability of equation \(\vec {\mathcal P}(\partial /\partial z)\vec f=\vec g\), where \(\vec g\) is given.
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duality
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solvability
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differential equations
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spaces of analytic functions
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