The Fourier inversion and the Riemann functional equation (Q607089)
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scientific article; zbMATH DE number 5817648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fourier inversion and the Riemann functional equation |
scientific article; zbMATH DE number 5817648 |
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The Fourier inversion and the Riemann functional equation (English)
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19 November 2010
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The authors recall the interpretation of the functional equation of Riemann's zeta function in the context of Fourier analysis. They introduce the notion of a \(\lambda \)-pair of absolutely integrable functions and show that the components of the \(\lambda \)-pair satisfy an identity involving convolution type products.
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zeta function
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functional equation
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Mellin transform
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