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About Spherical Functions on SL(2,R) 被引量:2

About Spherical Functions on SL(2,R)
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摘要 In this paper,we will discuss some properties of the(n,m)-spherical fuctions on the Lie group G=SL(2, R),and obtain the decomposition of f in C_c^4(G)into these functions.Also we give the Fourier inversion formula for the(n,m)-spherical functions in C_c^3(G). In this paper,we will discuss some properties of the(n,m)-spherical fuctions on the Lie group G=SL(2, R),and obtain the decomposition of f in C_c^4(G)into these functions.Also we give the Fourier inversion formula for the(n,m)-spherical functions in C_c^3(G).
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第2期199-206,共8页 数学学报(英文版)
关键词 SL(2 R) (n m)-spherical functions K-weight inversion formula SL(2,R),(n,m)-spherical functions K-weight inversion formula
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