Surjectivity of a linear differential operator in a weighted space of infinitely differentiable functions. (Q1810118)
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scientific article; zbMATH DE number 1928207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surjectivity of a linear differential operator in a weighted space of infinitely differentiable functions. |
scientific article; zbMATH DE number 1928207 |
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Surjectivity of a linear differential operator in a weighted space of infinitely differentiable functions. (English)
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15 June 2003
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The author presents a sufficient condition for the surjectivity of a linear differential operator of infinite order with constant coefficients in a weighted space of infinitely differentiable functions on the real line. To this end, the author introduces a class of a nonnegative convex increasing functions on \([0,\infty)\) satisfying certain additional assumptions.
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surjectivity of a linear differential operator of infinite order
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weighted space
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