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...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).展开更多
文摘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).