Central Fourier analysis for Lorentz spaces on compact Lie groups (Q1822715)
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scientific article; zbMATH DE number 4113235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central Fourier analysis for Lorentz spaces on compact Lie groups |
scientific article; zbMATH DE number 4113235 |
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Central Fourier analysis for Lorentz spaces on compact Lie groups (English)
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1989
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We determine the critical indexes for the \(L^{p,q}\) uniform boundedness of the characters of a compact connected semisimple Lie group. These results show a basic difference between the simple and the semisimple case, a situation which does not appear when dealing with \(L^ p\) spaces. We provide applications to the general theory of central functions on compact Lie groups.
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critical indexes
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uniform boundedness
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characters
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compact connected semisimple Lie group
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central functions on compact Lie groups
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