The heat kernel of a weighted Maass-Laplacian with real weights
Spectral Theory
2020-03-05 v1 Classical Analysis and ODEs
Number Theory
Abstract
We derive closed formula for the heat kernel associated to Maass-Laplacian operator for any real and prove that heat kernel is strictly monotone decreasing function. We also derive some important asymptotic formulae for the heat kernel .
Keywords
Cite
@article{arxiv.2003.02006,
title = {The heat kernel of a weighted Maass-Laplacian with real weights},
author = {Zenan Šabanac and Lamija Šćeta},
journal= {arXiv preprint arXiv:2003.02006},
year = {2020}
}