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.

中文翻译：

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Schrödinger算子在单位复数球中具有磁场的谱密度：演化方程的解及其在特殊函数中的应用

给出了在n维复球中具有磁场的Schrödinger算子的光谱密度的Schwartz核。作为应用程序，我们计算热量，分解物和波动核。此外，可分解和波核用于建立高斯超几何函数的两个新公式。