Spectral operators on the Sierpinski gasket I
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Publication:5321886
DOI10.1080/17476930802272978zbMath1188.28006OpenAlexW2092625349WikidataQ59260752 ScholiaQ59260752MaRDI QIDQ5321886
Adam Allan, Robert S. Strichartz, Michael J. Barany
Publication date: 16 July 2009
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930802272978
Related Items (7)
SPECTRUM AND HEAT KERNEL ASYMPTOTICS ON GENERAL LAAKSO SPACES ⋮ Eigenmodes of the Laplacian on some Laakso spaces ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Measurable operators and the asymptotics of heat kernels and zeta functions ⋮ Pseudo-differential operators on fractals and other metric measure spaces ⋮ Geometry and field theory in multi-fractional spacetime ⋮ Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel
Cites Work
- On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
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- Spectral analysis on infinite Sierpiński gaskets
- Fractal differential equations on the Sierpiński gasket
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- On eigenvalue problems for Laplacians on p.c.f. self-similar sets
- Laplacians on fractals with spectral gaps have nicer Fourier series
- Fractafolds based on the Sierpinski gasket and their spectra
- Sampling on the Sierpinski Gasket
- Analysis on products of fractals
- Partial differential equations on products of Sierpinski gaskets
- Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel
- NUMERICAL ANALYSIS ON THE SIERPINSKI GASKET, WITH APPLICATIONS TO SCHRÖDINGER EQUATIONS, WAVE EQUATION, AND GIBBS' PHENOMENON
- The finite element method on the Sierpinski gasket
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