Geometric estimates for the trace formula
Geometric estimates for the trace formula
复制标题
迹公式的几何估计
DOI：
10.1007/s10455-008-9105-0
复制
发表时间：
2008
影响因子：
0.7
通讯作者：
W. Hoffmann
中科院分区：
文献类型：
--
作者：
W. Hoffmann
为了研究与格上约化群的子群相关的几何或谱数据的渐近分布，需要一个非紧支撑群上测试函数的迹公式。亚瑟证明了任意秩约化群上紧支撑测试函数的迹公式。我们表明，粗几何展开式在他的公式收敛迅速减少的功能。
In order to study the asymptotic distribution of geometric or spectral data associated with quotients of a reductive group by a lattice, one needs a trace formula for test functions on that group with noncompact support. Arthur has proved a trace formula for compactly supported test functions on reductive groups of arbitrary rank. We show that the coarse geometric expansion in his formula converges for rapidly decreasing functions.