论文标题
具有真实重量的加权马斯 - 拉普拉斯的加热内核
The heat kernel of a weighted Maass-Laplacian with real weights
论文作者
论文摘要
我们得出了与Maass-Laplacian操作员相关的热核$ k_ \ Mathbb {h} $的封闭公式，任何真正的$ k $ $ d_k $，并证明加热内核$ k_ \ mathbb {h h} $是严格降低单调的功能。我们还为加热内核$ k_ \ mathbb {h} $得出了一些重要的渐近公式。
We derive closed formula for the heat kernel $K_\mathbb{H}$ associated to Maass-Laplacian operator $D_k$ for any real $k$ and prove that heat kernel $K_\mathbb{H}$ is strictly monotone decreasing function. We also derive some important asymptotic formulae for the heat kernel $K_\mathbb{H}$.
