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Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on ?n |
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| Authors: | Chang Der-Chen Griener Peter Tie Jingzhi |
| Affiliation: | (1) Department of Mathematics, Georgetown University, Washington, DC 20057, USA;(2) Department of Mathematics, University of Toronto, Toronto, ON, M5S 3G3, Canada;(3) Department of Mathematics, University of Georgia, Athens, GA 30602-7403, USA |
| Abstract: | Given a principal value convolution on the Heisenberg group H n = ℂ n × ℝ, we study the relation between its Laguerre expansion and the Fourier-Bessel expansion of its limit on ℂ n . We also calculate the Dirichlet kernel for the Laguerre expansion on the group H n . Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
| Keywords: | Heisenberg group Fourier transform Laguerre expansion Bessel functions Poisson sum Dirichlet kernel |
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