On Mellin transforms of unramified Whittaker functions on GL(3,C) (Q1122040)
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scientific article; zbMATH DE number 4105355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Mellin transforms of unramified Whittaker functions on GL(3,C) |
scientific article; zbMATH DE number 4105355 |
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On Mellin transforms of unramified Whittaker functions on GL(3,C) (English)
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1989
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The double Mellin transform of the unramified Whittaker functions on Gl(3,\({\mathbb{C}})\) are evaluated as products of Gamma functions. Several applications of this formula are indicated. In particular, the special Whittaker function occurring in connection with the cubic theta function on Gl(3,\({\mathbb{C}})\) is evaluated in terms of the Bessel function \(K_{1/3}\).
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reductive group
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Whittaker functions
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Gl(3,\({\mathbb{C}})\)
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