Spectral cluster asymptotics of the Dirichlet to Neumann operator on the two-sphere

S. Pérez-Esteva, A. Uribe, C. Villegas-Blas

We study the spectrum of the Dirichlet to Neumann operator of the two-sphere associated to a Schrödinger operator in the unit ball. The spectrum forms clusters of size $O(1/k)$ aro…