Mellin transforms on binary fields (Q1577561)
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scientific article; zbMATH DE number 1495923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mellin transforms on binary fields |
scientific article; zbMATH DE number 1495923 |
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Mellin transforms on binary fields (English)
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16 August 2001
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Some boundedness and inversion results are proved for a large class of operators on binary fields, i.e., on 2-series and 2-adic fields. As a special case, it is obtained, that the Mellin transform on any binary field can be extended to a bounded linear isometry on \(L_2\). An explicit formula for the inverse Mellin transform is given and it is shown that the inversion holds when the Mellin transform is integrable.
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2-series field
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2-adic field
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boundedness
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inversion
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Mellin transform
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binary field
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