On character of non-integrability of the extension of the solution of convolution equation (Q2901624)
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scientific article; zbMATH DE number 6062166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On character of non-integrability of the extension of the solution of convolution equation |
scientific article; zbMATH DE number 6062166 |
Statements
31 July 2012
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nonintegrability
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convolution equation
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exponential series
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mean periodicity
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0.9067206
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0.8815254
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0.8801084
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0.8767077
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0.87520957
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0.8735186
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On character of non-integrability of the extension of the solution of convolution equation (English)
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The character of nonintegrability for an extension of the solution of a convolution equation with a special class of convolvers is studied. The similar problem was studied by J. Kahan, A. Leontyev, V. Golovin. The present paper is connected with such branches of analysis as theory of exponential series, mean periodicity and others. There is a solution \(f\) of the convolution equation, defined by the convolver. A lower bound for the integral of \(| f| \) of over the neighborhood of a point belonging to the exterior of the smallest segment containing the support of is obtained.
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