数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 413-420.

• 论文 • 上一篇    下一篇

ABOUT THE INVERSION FORMULA ON THE LIE GROUP SL (2, R)

肖昌柏   

  1. Dept. of Math., Nanjing Univ., Nanjing 21008, China
  • 收稿日期:1991-06-07 出版日期:1993-12-25 发布日期:1993-12-25

ABOUT THE INVERSION FORMULA ON THE LIE GROUP SL (2, R)

Xiao Changbai   

  1. Dept. of Math., Nanjing Univ., Nanjing 21008, China
  • Received:1991-06-07 Online:1993-12-25 Published:1993-12-25

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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)).

Abstract: 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)).

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