Spectral analysis beyond ${\ell }^2$ on Sierpinski lattices

Shiping Cao, Yiqi Huang, Hua Qiu +2

We study the spectrum of the Laplacian on the Sierpinski lattices. First, we show that the spectrum of the Laplacian, as a subset of $\mathbb{C}$, remains the same for any ${\ell }^p$…