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SPECTRUM AND HEAT KERNEL ASYMPTOTICS ON GENERAL LAAKSO SPACES

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Publication:3164807
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DOI10.1142/S0218348X12500144zbMath1251.35049arXiv0912.2176OpenAlexW2963502553MaRDI QIDQ3164807

No author found.

Publication date: 16 October 2012

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2176


zbMATH Keywords

zeta functionsheat kernel estimatesmetric-measure spacegeneralized upper gradients


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)


Related Items (1)

Existence of a meromorphic extension of spectral zeta functions on fractals




Cites Work

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  • Spectral asymptotics for Laplacians on self-similar sets
  • Self-similarity, operators and dynamics
  • Eigenfunctions of the Koch snowflake domain
  • Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
  • ARPACK Users' Guide
  • VIBRATION SPECTRA OF THE m-TREE FRACTAL
  • Spectral operators on the Sierpinski gasket I
  • Eigenmodes of the Laplacian on some Laakso spaces
  • Quantum graphs: I. Some basic structures
  • Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs




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