Some spectral properties of pseudo-differential operators on the Sierpiński gasket

DOI10.1090/proc/13512zbMath1377.35249arXiv1406.5165OpenAlexW2963095566MaRDI QIDQ2964048

Luke G. Rogers, Marius V. Ionescu

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5165

zbMATH Keywords

Sierpiński gasketanalysis on fractalsSzegö limit theoremlocalized eigenfunctions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractals (28A80) Pseudodifferential operators (47G30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• The analysis of linear partial differential operators. IV: Fourier integral operators
• Spectral analysis on infinite Sierpiński gaskets
• Fractal differential equations on the Sierpiński gasket
• Pseudo-differential operators on fractals and other metric measure spaces
• Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket
• Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets

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