论文标题
Schrödinger操作员的光谱密度在单位复合球中具有磁场:进化方程的解决方案和应用特殊功能的应用
Spectral density for the Schrödinger operator with magnetic field in the unit complex ball: Solutions of evolutionary equations and applications to special functions
论文作者
论文摘要
给出了带有磁场的Schrödinger操作员在$ n- $ dimensional Complect Ball中的频谱密度的Schwartz内核。作为应用,我们计算热量,分解和波核。此外,分解和波核用于建立两个新的公式用于高斯 - 近地点函数。
The Schwartz kernel of the spectral density for the Schrödinger operator with magnetic field in the $n-$dimensional complex ball is given. As applications, we compute the heat, resolvent and the wave kernels. Moreover, the resolvent and wave kernels are used to establish two new formulas for the Gauss-hypergeometric function.