Bounds on Multiplicities of Laplace Operator Eigenvalues on Surfaces
Spectral Theory
2022-11-29 v1 Differential Geometry
Abstract
In the present paper several bounds on multiplicities of eigenvalues of the Laplacian operator on surfaces are generalized from the case of either closed surface or simply-connected planar domain to the case of a surface of positive genus with holes.
Keywords
Cite
@article{arxiv.1511.09043,
title = {Bounds on Multiplicities of Laplace Operator Eigenvalues on Surfaces},
author = {Aleksandr Berdnikov},
journal= {arXiv preprint arXiv:1511.09043},
year = {2022}
}