AN ASYMPTOTIC ORDER OF FOURIER TRANSFORM ON SL(2,R) 被引量：1

AN ASYMPTOTIC ORDER OF FOURIER TRANSFORM ON SL(2,R)

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摘要 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 C2i(SL(2,R)) is also obtained as an application. 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 C2i(SL(2,R)) is also obtained as an application.

作者 Wang Xinsong and Zheng Weixing (Nanjing University, China)

出处《Analysis in Theory and Applications》 2003年第1期76-80,共5页 分析理论与应用（英文刊）

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

分类号 O174.22 [理学—基础数学]

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1Sugiura, Mitsuo., Unitary Representations and Harmonic Analysis, Halstecd Press, Tokyo,1975.
2Xiao Changbai, Some Approximation Results on 8U(2,2), Acta Math ,Sinica ,32:6 (1989),793-- 802.
3Zheng Weixing, Some Problems on Lie Group Analysis, Proceeding of the Second Asian matheMatical Conference, 1995,104 -- 110.
4Zheng Xuean, Asymptotic Property of Fourier Coefficient on Compact Lie Group, Acta Math, Sinica , 35 : 1 ( 1992), 20-- 32.
5Shu Lisheng and Zheng Weixing, Asymptotic Property of Fourier Transform on SL(2,R), Annual. Math., 18A:3(1997), 279--286.
6Wang Xinsong and Zheng Weixing, A Note of the Asymptotic Property of Fourier Transform on SL (2, R), Acta Mathematica Scientia, 22A : 4 (2002), 502-- 511.
7Serge Lang, SL2(R)[M],New York,Heidelberg, Beijing, Springer, 1985.
8Shu Lisheng, Plancherel Formula of Fourier Transform on 3L(2,R), Journal of Nanjing University Mathematical Biquarterly, 13 :2(1996), 253--258.

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1束立生,郑维行.SL(2,IR)上Fourier变换的渐近性质[J].数学年刊（A辑）,1997,1(3):279-286. 被引量：5
2王信松,郑维行.SL(2,R)上的Fourier变换的渐近性质的注记[J].数学物理学报（A辑）,2002,22(4):502-511. 被引量：3
3王信松,郑维行.SL（2，R）上ω^kH^α的Fourier变换的渐近性质[J].纯粹数学与应用数学,2003,19(2):119-125. 被引量：1

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4LI XianJin.On Connes' trace formula for the Hankel transformation of order-1/2[J].Science China Mathematics,2012,55(10):2125-2146.
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8陈宏.ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS ANDDATA ERROR[J].Acta Mathematica Scientia,1998,18(1):35-44. 被引量：3
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Analysis in Theory and Applications

2003年第1期

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AN ASYMPTOTIC ORDER OF FOURIER TRANSFORM ON SL(2,R) 被引量：1

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