Abstract
We derive closed formula for the heat kernel $K_{\mathbb H, k}$ associated to the Maass-Laplacian operator $D_k$ for any real weight $k$ and prove that the heat kernel $K_{\mathbb H, k}$ is strictly monotone decreasing function of the hyperbolic distance. We derive small time and large time asymptotic formulae for the heat kernel $K_{\mathbb H, k}$ and describe its behavior as a function of the real weight $k$.
Citation
Zenan Šabanac. Lamija Šćeta. "The Heat Kernel of a Weighted Maass-Laplacian with Real Weights." Albanian J. Math. 14 (1) 25 - 35, 2020. https://doi.org/10.51286/albjm/1608313764
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