Some spectral properties of pseudo-differential operators on the Sierpinski Gasket

by Marius Ionescu, Kasso A. Okoudjou and Luke G. Rogers.

We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpinski gasket. Our results uses in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal.

Arxiv (Preprint) Version

Published version in Proc AMS