Sobolev orthogonal polynomials on the Sierpinski gasket

DOI10.1007/s00041-021-09819-0zbMath1462.42045arXiv2010.00107OpenAlexW3152868730MaRDI QIDQ829898

Robert S. Strichartz, Xiaoduo Wang, Qingxuan Jiang, Kasso A. Okoudjou, Tian Lan, Sreeram Venkat, Shashank Sule

Publication date: 6 May 2021

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00107

zbMATH Keywords

orthogonal polynomialsSobolev orthogonal polynomialsSierpinski gasket

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

Overview of the topical collection: harmonic analysis on combinatorial graphs

Uses Software

• GitHub

Cites Work

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• Orthogonal polynomials on the Sierpinski gasket
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• Splines on fractals
• Zero Distribution and Behavior of Orthogonal Polynomials in the Sobolev Space $W^{1,2} [ - 1,1$]
• WHAT IS... a Sobolev Orthogonal Polynomial?
• Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel
• Zu den Orthogonalpolynomen von Althammer.

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