The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory

Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon +1

We consider the Dirichlet and Neumann eigenvalues of the Laplacian for a planar, simply connected domain. The eigenvalues admit a characterization in terms of a layer potential of…