Spectral analysis beyond $\ell^2$ on Sierpinski lattices
Functional Analysis
2021-04-29 v2
Abstract
We study the spectrum of the Laplacian on the Sierpinski lattices. First, we show that the spectrum of the Laplacian, as a subset of , remains the same for any spaces. Second, we characterize all the spectral points for the lattices with a boundary point.
Cite
@article{arxiv.1910.01771,
title = {Spectral analysis beyond $\ell^2$ on Sierpinski lattices},
author = {Shiping Cao and Yiqi Huang and Hua Qiu and Robert S. Strichartz and Xiaohan Zhu},
journal= {arXiv preprint arXiv:1910.01771},
year = {2021}
}
Comments
17 pages, 8 figures