Spectral Analysis Beyond $$\ell ^2$$ on Sierpinski Lattices

Autor:	Hua Qiu, Xiaohan Zhu, Robert S. Strichartz, Shiping Cao, Yiqi Huang
Rok vydání:	2021
Předmět:	Pure mathematics Partial differential equation High Energy Physics::Lattice Applied Mathematics General Mathematics 010102 general mathematics Spectrum (functional analysis) 020206 networking & telecommunications 02 engineering and technology Mathematics::Spectral Theory 01 natural sciences Functional Analysis (math.FA) Sierpinski triangle Mathematics - Functional Analysis symbols.namesake Fourier analysis FOS: Mathematics 0202 electrical engineering electronic engineering information engineering symbols Spectral analysis 0101 mathematics Laplace operator Analysis 28A80 47A10 05C63 Mathematics
Zdroj:	Journal of Fourier Analysis and Applications. 27
ISSN:	1531-5851 1069-5869
DOI:	10.1007/s00041-021-09853-y
Popis:	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 $\ell^p$ spaces. Second, we characterize all the spectral points for the lattices with a boundary point. 17 pages, 8 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4c6360c4d15d0462bd42ef6106db562 https://doi.org/10.1007/s00041-021-09853-y Zobrazit plný text záznamu Full text from SpringerLink