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About spherical functions onSL(2,ℝ)

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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 4c (G) into these functions. Also we give the Fourier inversion formula for the (n, m)-spherical functions inC 3c (G).

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Lisheng, S., Weixing, Z. About spherical functions onSL(2,ℝ) . Acta Mathematica Sinica 13, 199–206 (1997). https://doi.org/10.1007/BF02559959

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  • DOI: https://doi.org/10.1007/BF02559959

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