ISOSPECTRAL CONVEX DOMAINS IN THE HYPERBOLIC PLANE

Authors
GORDON CS WEBB DL
Citation
Cs. Gordon et Dl. Webb, ISOSPECTRAL CONVEX DOMAINS IN THE HYPERBOLIC PLANE, Proceedings of the American Mathematical Society, 120(3), 1994, pp. 981-983
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
3
Year of publication
1994
Pages
981 - 983
Database
ISI
SICI code
0002-9939(1994)120:3<981:ICDITH>2.0.ZU;2-7
Abstract
We construct pairs of nonisometric convex polygons in the hyperbolic p lane for which the Laplacians are both Dirichlet and Neumann isospectr al. We also give examples of pairs of isospectral potentials for the S chrodinger operator on certain convex hyperbolic polygons.