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
We study here Ll-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for Ll-cOnvergence of double cosine trigonometric series. Also, the results obtained by ...We study here Ll-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for Ll-cOnvergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.展开更多
文摘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.
文摘We study here Ll-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for Ll-cOnvergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.
