On spectral large sieve inequalities
On spectral large sieve inequalities
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关于谱大筛不等式
DOI：
10.7169/facm/1538186680
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
M. Jutila
中科院分区：
文献类型：
--
作者：
M. Jutila
由H.Iwaniec得到的谱大筛不等式，即L波的傅里叶系数在线性形式的谱区间上的均方估计。是由NSE报道的Y.1otohashi公式和“混合”大筛不等式。然后将结果推广到线性形式的系数可以依赖于双曲拉普拉斯的各自的特征值以及均匀分布的点集的情况。
The spectral large sieve inequality due to H. Iwaniec, that is an estimate for the mean square over a spectral interval of a linear form in the Fourier coefficients of l\faass wave forms. is reported by nse of a formula of Y. ~1otohashi and the "hybrid" large sieve inequality. Then the result is generalized to the case, where the coefficients of the linear form may depend on the respective eigenvalue of the hyperbolic Laplacian, and also on a well-spaced set of points.