Szego limit theorems on the Sierpinski gasket
Spectral Theory
2008-10-15 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0810.2315,
title = {Szego limit theorems on the Sierpinski gasket},
author = {Kasso A. Okoudjou and Luke G. Rogers and Robert S. Strichartz},
journal= {arXiv preprint arXiv:0810.2315},
year = {2008}
}
Comments
14 pages