论文标题
结果强大的一个定理
Results on a Strong Multiplicity One Theorem
论文作者
论文摘要
在$ g = so $ g = so(2,1)^\ circ $的$τ_n$ -spherical表示的上下文中,我们证明了强度多样性一个定理的类似物。对于$ g = so(2,1)^\ circ $,这是第一作者对先前结果的概括。
We prove an analogue of the strong multiplicity one theorem in the context of $τ_n$-spherical representations of the group $G = SO(2,1)^\circ$ appearing in $L^2(Γ_i \backslash G)$ for uniform torsion-free lattices $Γ_i, i = 1, 2$ in $G$. This is a generalisation of a previous result by the first author and C. S. Rajan in \cite{B-R-2011} for the case of $G = SO(2,1)^\circ$.