Translator Disclaimer
2020 The Heat Kernel of a Weighted Maass-Laplacian with Real Weights
Zenan Šabanac, Lamija Šćeta
Author Affiliations +
Albanian J. Math. 14(1): 25-35 (2020). DOI: 10.51286/albjm/1608313764

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

Download 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

Information

Published: 2020
First available in Project Euclid: 18 December 2020

zbMATH: 1448.35277
MathSciNet: MR4086716
Digital Object Identifier: 10.51286/albjm/1608313764

Subjects:
Primary: 35K08
Secondary: 11F72, 47B32

Rights: Copyright © 2020 Research Institute of Science and Technology (RISAT)

JOURNAL ARTICLE
11 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.14 • No. 1 • 2020
Back to Top