We prove Wiener Tauberian theorem type results for various spaces of radial functions, which are Banach algebras on a real-rank-one semisimple Lie group G. These are natural generalizations of the Wiener Tauberian theorem for the commutative Banach algebra of the integrable radial functions on G.

中文翻译：

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实一阶半单李群上某些巴纳赫代数的维纳陶伯定理

我们证明了各种径向函数空间的维纳陶伯定理类型结果，这些径向函数是实秩一半单李群G上的巴纳赫代数。这些是G上可积径向函数的交换巴纳赫代数的维纳陶伯定理的自然推广。