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Isospectral Convex Domains in the Hyperbolic Plane
1994
Proceedings of the American Mathematical Society
Preserved Fulltext
We construct pairs of nonisometric convex polygons in the hyperbolic plane for which the Laplacians are both Dirichlet and Neumann isospectral. We also give examples of pairs of isospectral potentials for the Schrodinger operator on certain convex hyperbolic polygons.
doi:10.2307/2160496
fatcat:c5xvvjgxjzfh3ai4smxpkhls4m