Notes on Sobolev spaces on compact classical groups and Stein--Sahi representations
We discuss kernels on complact classical groups $G=\U(n)$, $\OO(2n)$, $\Sp(n)$ defined by the formula $K(z,u)=|\det(1-zu^*)|^s$. We obtain the explicit Plancherel formula for these kernels and the interval of positive-definiteness. We also obtain explicit models for Sahi's 'unipotent'...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We discuss kernels on complact classical groups $G=\U(n)$, $\OO(2n)$,
$\Sp(n)$ defined by the formula $K(z,u)=|\det(1-zu^*)|^s$. We obtain the
explicit Plancherel formula for these kernels and the interval of
positive-definiteness. We also obtain explicit models for Sahi's 'unipotent'
representations. |
|---|---|
| DOI: | 10.48550/arxiv.math/0411419 |