Pure point spectrum for the Laplacian on unbounded nested fractals

DOI10.1006/jfan.2000.3567zbMath0965.35103OpenAlexW2078667056MaRDI QIDQ1572907

Christophe Sabot

Publication date: 6 August 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3567

zbMATH Keywords

self-similarfinitely ramified setsNeumann-Dirichlet eigenvaluesunbounded nested fractals

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractals (28A80)

Related Items (9)

Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Weak uncertainty principle for fractals, graphs and metric measure spaces ⋮ Construction of free quantum fields on nested fractal space-times ⋮ Pseudo-differential operators on fractals and other metric measure spaces ⋮ Complex powers of the Laplacian on affine nested fractals as Calderón-Zygmund operators ⋮ The zeta function of the Laplacian on certain fractals ⋮ Semilinear equations on fractal blowups ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates ⋮ Green functions on self-similar graphs and bounds for the spectrum of the Laplacian

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