A Fourier transform for compact nilmanifolds with flat orbits (Q796033)
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scientific article; zbMATH DE number 3863828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Fourier transform for compact nilmanifolds with flat orbits |
scientific article; zbMATH DE number 3863828 |
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A Fourier transform for compact nilmanifolds with flat orbits (English)
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1985
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The author defines and studies a Fourier transform for compact nilmanifolds with flat coadjoint orbits. The analogues of several classical results from Fourier analysis on the circle (e.g., the Riemann- Lebesgue lemma and the Hausdorff-Young theorem) are established. The proofs of these results are based on some norm-inequalities for the primary projections.
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compact nilmanifolds
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flat coadjoint orbits
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Riemann-Lebesgue lemma
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Hausdorff-Young theorem
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norm-inequalities
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primary projections
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