Some spectral properties of pseudo-differential operators on the   Sierpinski Gasket
  We prove versions of the strong Sz\"ego limit theorem for certain classes of pseudodifferential operators defined on the Sierpi\'nski gasket. Our results used in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal. 
Marius Ionescu, Kasso A. Okoudjou, and Luke G. Rogers
math.SP math.AP math.FA