The Coherent State Transform and an Application to the Hyperbolic Laplacian
Spectral Theory
2024-11-19 v2 Mathematical Physics
math.MP
Abstract
We review some basic ideas from the theory of overfilling families and use the special case of coherent states to prove Weyl asymptotics for the euclidean Laplacian and the hyperbolic Laplacian on a domain with Dirichlet boundary conditions.
Keywords
Cite
@article{arxiv.2406.16657,
title = {The Coherent State Transform and an Application to the Hyperbolic Laplacian},
author = {Timon Ruben Weinmann},
journal= {arXiv preprint arXiv:2406.16657},
year = {2024}
}