Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (2): 184-191.

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The Spherical Functions and Fourier Transform on SL(2, R)

Shu Lisheng   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000
  • Received:1995-06-12 Revised:1995-10-16 Online:1997-04-26 Published:1997-04-26

Abstract: In this paperi We will study some propcrties of spheri-cal functions on G=SL(2,R). By Virtue of these, we obtain that for each γ∈ Ǧ*, there exists a fCc(G)such that f(γ) ≠ 0. This result plays an important role in Fourier transform on SL(2,R).

Key words: Lie group SL(2,R), Irreduciblc unitary repesentaion, Fourier transform, Spherical function

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