Szegö limit theorems on the Sierpinski gasket

by Kasso A. Okoudjou, Luke G. Rogers, Robert S. Strichartz

We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket to formulate and prove analogues of the strong Szego limit theorem in this fractal setting. Furthermore, we recast some of our results in terms of equally distributed sequences.

Arxiv preprint version

Published version in JFAA