| Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C~n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| 引用本文： | CHANG Der-Chen,GRIENER Peter. Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C~n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J]. 中国科学A辑(英文版), 2006, 0(11) |
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| 作者姓名： | CHANG Der-Chen GRIENER Peter |
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| 作者单位： | Department of Mathematics Georgetown University Washington DC 20057，USA，Department of Mathematics University of Toronto，Toronto，ON M5S 3G3，Canada |
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| 摘 要： | Given a principal value convolution on the Heisenberg group Hn = Cn×R, we study the relation between its Laguerre expansion and the Fourier-Bessel expansion of its limit on Cn. We also calculate the Dirichlet kernel for the Laguerre expansion on the group Hn.
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Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C~n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| CHANG Der-Chen,GRIENER Peter , TIE Jingzhi. Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C~n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J]. Science in China(Mathematics), 2006, 0(11) |
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| Authors: | CHANG Der-Chen GRIENER Peter & TIE Jingzhi |
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| Affiliation: | CHANG Der-Chen,GRIENER Peter & TIE Jingzhi Department of Mathematics,Georgetown University,Washington DC 20057,USA, Department of Mathematics,University of Toronto,Toronto,ON M5S 3G3,Canada, Department of Mathematics,University of Georgia,Athens,GA 30602-7403,USA |
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| Abstract: | |
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| Keywords: | Heisenberg group Fourier transform Laguerre expansion Bessel functions Poisson sum Dirichlet kernel. |
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