ABOUT THE INVERSION FORMULA ON THE LIE GROUP SL (2, R) |
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作者姓名: | 肖昌柏 |
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摘 要: | Harish-Chandra have got a Fourier inversion formula for C_c~-(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 C_b~3 (SL(2, R)).
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