Abstract
We consider the harmonic extension AN of an H-type group N with Lie algebra n = v + z, and [v, v] = z. We characterize the positive definite spherical functions on AN.
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Communicated by Fulvio Ricci
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Dooley, A.H., Zhang, G. Spherical functions on harmonic extensions ofH-type groups. J Geom Anal 9, 247–255 (1999). https://doi.org/10.1007/BF02921938
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DOI: https://doi.org/10.1007/BF02921938