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Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on Cn |
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| Authors: | CHANG Der-Chen GRIENER Peter TIE Jingzhi |
| Abstract: | 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. |
| Keywords: | Heisenberg group Fourier transform Laguerre expansion Bessel functions Poisson sum Dirichlet kernel |
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