An explicit expression for the Harish-Chandra c-function for the homogeneous space \(SO(2,n)/S(O(2)\times O(n)), \, n\in \{ 2,4,6\}\) (Q719416)
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scientific article; zbMATH DE number 5955990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An explicit expression for the Harish-Chandra c-function for the homogeneous space \(SO(2,n)/S(O(2)\times O(n)), \, n\in \{ 2,4,6\}\) |
scientific article; zbMATH DE number 5955990 |
Statements
An explicit expression for the Harish-Chandra c-function for the homogeneous space \(SO(2,n)/S(O(2)\times O(n)), \, n\in \{ 2,4,6\}\) (English)
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10 October 2011
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The author gives an explicit expression for the Harish-Chandra \(c\)-function of the Lie ball in complex dimensions 2, 4, and 6. The computation is based on explicit expressions of the generalized spherical function.
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Harish-Chandra \(c\)-function
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spherical function
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Lie ball
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Shilov boundary
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0.86585987
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0.86010087
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0.85942984
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0.8470221
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0.8460295
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0.8402171
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