Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval (Q1760513)
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scientific article; zbMATH DE number 6105689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval |
scientific article; zbMATH DE number 6105689 |
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Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval (English)
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14 November 2012
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A convolution equation is considered in the Beurling space of ultradifferentiable functions of mean type on an interval. The author completely describes conditions under which the convolution equation has a solution. As a particular case, infinite-order differential equations with constant coefficients are considered. Necessary and sufficient conditions of solvability of such equations are established. Some examples illustrate the theory.
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Beurling type ultradifferentiable functions
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convolution equation
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convolution operator
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weight function
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division theorem
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