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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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作者 CHANG Der-Chen griener peter 《Science China Mathematics》 SCIE 2006年第11期1722-1739,共18页
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 k... 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. 展开更多
关键词 Heisenberg group Fourier transform LAGUERRE expansion Bessel functions Poisson sum Dirichlet kernel.
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