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

Abstract

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

Analysis on fractals, localized eigenfunctions, Sierpiński gasket, Szëgo limit theorem