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arXiv · 2003.02006

The heat kernel of a weighted Maass-Laplacian with real weights

Zenan Šabanac·Lamija Šćeta
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Abstract

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 $K_\mathbb{H}$.

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Zenan Šabanac, Lamija Šćeta. 2020-03-04. The heat kernel of a weighted Maass-Laplacian with real weights. https://arxiv.org/abs/2003.02006

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