학술논문
A geometry where everything is better than nice
Document Type
Working Paper
Author
Source
Subject
Language
Abstract
We present a riemannian structure on the disk that has a remarkably rich structure. Geodesics are hypocycloids and the (negative of the) laplacian has integer spectrum with multiplicity the Dirichlet divisor function. Eigenfunctions of the laplacian are orthogonal polynomials naturally suited to the analysis of acoustic scattering in layered media.
Comment: 6 pages, to appear in Proceedings of the AMS
Comment: 6 pages, to appear in Proceedings of the AMS