数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 413-420.
肖昌柏
Xiao Changbai
摘要: Harish-Chandra have got a Fourier inversion formula for Cc∞(SL(2, R)). In this paper, we give a discussion on approximation identity kernels on SL(2, R) and get some properties of their Fourier transforms, and then, making use of these properties and Harish-Chandra's result, we prove that the Fourier inversion formula obtained by Harish-Chandra is also valid for Cb3 (SL'(2, R)).