论文标题
分层谎言组的光谱估计和渐近学
Spectral estimates and asymptotics for stratified Lie groups
论文作者
论文摘要
我们研究了单数值的CWIKEL型估计值,以及schatten $ \ Mathcal {l} _p $ - 乘法和卷积算子的组成和作用于分层谎言组的组合物。这使我们能够为衍生自拉普拉斯人的某些操作员获得新的光谱渐近公式。
We study Cwikel-type estimates for the singular values and Schatten $\mathcal{L}_p$-norms of compositions of multiplication and convolution operators acting on stratified Lie groups. This enables us to obtain novel spectral asymptotic formulas for certain operators derived from sub-Laplacians.