论文标题
Laplacian的$ l^2 $频谱的底部在本地对称空间上
Bottom of the $L^2$ spectrum of the Laplacian on locally symmetric spaces
论文作者
论文摘要
我们根据适当的Poincaré系列的关键指数来估计Laplacian在本地对称空间上的$ L^2 $频谱的底部。我们的主要结果是，由于Elstrodt，Patterson，Sullivan和Corlette的表征，较高的等级类似物。它改善了Leuzinger和Weber在更高排名的先前结果。
We estimate the bottom of the $L^2$ spectrum of the Laplacian on locally symmetric spaces in terms of the critical exponents of appropriate Poincaré series. Our main result is the higher rank analog of a characterization due to Elstrodt, Patterson, Sullivan and Corlette in rank one. It improves upon previous results obtained by Leuzinger and Weber in higher rank.
