Fourier analysis on multiple representations of locally compact Abelian groups (Q762620)
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scientific article; zbMATH DE number 3889808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier analysis on multiple representations of locally compact Abelian groups |
scientific article; zbMATH DE number 3889808 |
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Fourier analysis on multiple representations of locally compact Abelian groups (English)
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1984
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Replacing the Haar measure on the dual group by a faithful normal semi-finite trace on a von Neumann algebra, the authors obtain analogues of the Fourier transformation, the Plancherel identity and the Fourier inversion formula.
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dual group
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trace
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von Neumann algebra
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