Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces

DOI10.1090/tran/6639zbMath1332.81069arXiv1310.5650OpenAlexW3103496249MaRDI QIDQ2790643

Alexander Teplyaev, Daniel H. Lenz

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1310.5650

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Dirichlet forms (31C25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Probabilistic potential theory (60J45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Fractals (28A80) Discrete potential theory (31C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Signed and weighted graphs (05C22) Infinite graphs (05C63) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Geometry and Laplacian on discrete magic carpets ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Shnol’s theorem and the spectrum of long range operators ⋮ Poisson kernel expansions for Schrödinger operators on trees ⋮ Finite Energy Coordinates and Vector Analysis on Fractals ⋮ Eigenfunctions growth of \(\mathcal{R}\)-limits on graphs

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