This article demonstrates a simpler proof of Cowling and Haagerup's theorem on multipliers in Lie groups, suggesting a clearer understanding of the topic.
In this article we give a simpler proof of the main theorem of M. Cowling and U. Haagerup, Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one, Invent.Math.96 (1989), 507-549, which reads as follows.Let G be a connected real Lie group of real rank 1 with finite centre.If G is locally isomorphic to SO 0while if G is the exceptional rank one group F 4(-20) , then G = 21 .
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V. Muruganandam (2008) studied this question.
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