Weyl transform and generalized spectrogram associated with quaternion Heisenberg group (Q765727)
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scientific article; zbMATH DE number 6017076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl transform and generalized spectrogram associated with quaternion Heisenberg group |
scientific article; zbMATH DE number 6017076 |
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Weyl transform and generalized spectrogram associated with quaternion Heisenberg group (English)
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22 March 2012
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The authors define the Weyl transform and the generalized spectrogram associated with the quaternion Heisenberg group. The boundedness of this transform on \(L^p(Q,dv)\) is shown under corresponding conditions of its symbol. Also, \(L^p\) estimates and the Lieb uncertainty principle are obtained for the spectrogram defined on the quaternion Heisenberg group.
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quaternion Heisenberg group
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Wigner transform
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Weyl transform
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spectrogram
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0.9013417
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0.89050436
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0.8854555
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0.8853315
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0.8788854
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0.8691265
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0.86799157
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