About spherical functions onSL(2,ℝ) |
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| Authors: | Shu Lisheng Zheng Weixing |
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| Institution: | (1) Department of Mathematics, Anhui Normal University, 241000 Wuhu, China;(2) Department of Mathematics, Nanjing University, 210093 Nanjing, China |
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| Abstract: | In this paper, we will discuss some properties of the (n, m)-spherical functions on the Lie groupG = SL(2,ℝ), and obtain the decomposition off inC
c
4
(G) into these functions. Also we give the Fourier inversion formula for the (n, m)-spherical functions inC
c
3
(G). |
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| Keywords: | SL(2 ℝ ) (n m)-spherical functions K-weight inversion formula |
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