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Analysis in Theory and Applications

, Volume 19, Issue 1, pp 76–80 | Cite as

An asymptotic order of fourier transform onSL(2,R)

  • Wang Xinsong
  • Zheng Weixing
Article
  • 14 Downloads

Abstract

In this paper, a better asymptotic order of Fourier transform on SL(2,R) is obtained by using classical analysis and Lie analysis comparing with that of [5], [6], and the Plancherel theorem on C' 2 (SL(2,R)) is also obtained as an application.

Key Words

Fourier transform,SL (2, R) Lie algebra Plancherel formula HS-norm 

AMS (2000) subject classification

43A70 

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References

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    Shu Lisheng and Zheng Weixing, Asymptotic Property of Fourier Transform onSL(2,R), Annual. Math., 18A: 3(1997), 279–286.Google Scholar
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    Wang Xinsong and Zheng Weixing, A Note of the Asymptotic Property of Fourier Transform onSL(2,R). Acta Mathematica Scientia, 22A: 4(2002), 502–511.Google Scholar
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Copyright information

© Springer 2003

Authors and Affiliations

  • Wang Xinsong
    • 1
  • Zheng Weixing
    • 1
  1. 1.Department of MathematicsNanjing UniversityNanjingP. R. China

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