An asymptotic order of fourier transform onSL(2,R)
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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 , , and the Plancherel theorem on C' 2 (SL(2,R)) is also obtained as an application.
Key WordsFourier transform,SL (2, R) Lie algebra Plancherel formula HS-norm
AMS (2000) subject classification43A70
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