Orthogonal polynomials on the Sierpinski gasket

DOI10.1007/s00365-013-9187-1zbMath1273.42028arXiv1110.1554OpenAlexW1969592894MaRDI QIDQ2375944

Elizabeth K. Tuley, Kasso A. Okoudjou, Robert S. Strichartz

Publication date: 25 June 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1554

zbMATH Keywords

orthogonal polynomialsLaplacianSierpinski gasketJacobi matrixrecursion relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

Sobolev orthogonal polynomials on the Sierpinski gasket ⋮ Fourier Series for Fractals in Two Dimensions ⋮ Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces ⋮ Restrictions of Laplacian eigenfunctions to edges in the Sierpinski gasket

Uses Software

• OPQ

Cites Work

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• GREEN'S FUNCTIONS ON FRACTALS
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• Matrix Analysis
• Splines on fractals
• Orthogonal Polynomials with Respect to Self-Similar Measures
• Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel
• An introduction to frames and Riesz bases

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