2014/06/19 by Marius Ionescu, Kasso A. Okoudjou, Ionescu, Marius +3
Mathematics · #28A80 #81Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Primary 35P20 #Secondary 42C99 #Spectral Theory (math.SP) #advanced mathematical theories #math.AP #math.FA #math.SP #msc:28A80 #msc:35P20 #msc:42C99 #msc:81Q10
paper · pdf · doi:10.48550/arxiv.1406.5165
Analysis on fractals, localized eigenfunctions, Sierpiński gasket, Szëgo limit theorem
arxiv created 2014/06/19 · openalex publication_date 2014/06/19 · arxiv updated 2014/06/20 · openalex created_date 2022/08/05 · openalex updated_date 2026/07/28
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Our results used in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal.