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Experimental Mathematics Volume 20, 2011 - Issue 3
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Original Articles

Orthogonal Polynomials with Respect to Self-Similar Measures

Steven M. Heilman Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012-1185
,
Philip Owrutsky Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138
&
Robert S. Strichartz Department of Mathematics, Cornell University, Ithaca, NY, 14850-4201
Pages 238-259 | Received 14 Sep 2009, Accepted 22 Feb 2010, Published online: 22 Aug 2011

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Read on this site (2)

Sze-Man Ngai, Wei Tang, Anh Tran & Shuai Yuan. (2022) Orthogonal Polynomials Defined by Self-Similar Measures with Overlaps. Experimental Mathematics 31:3, pages 1026-1038.
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Gökalp Alpan, Alexander Goncharov & Ahmet Nihat Şimşek. (2018) Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures. Experimental Mathematics 27:1, pages 10-21.
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Articles from other publishers (8)

Hua Qiu & Haoran Tian. (2018) Restrictions of Laplacian Eigenfunctions to Edges in the Sierpinski Gasket. Constructive Approximation 50:2, pages 243-269.
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Gökalp Alpan & Alexander Goncharov. (2016) Orthogonal polynomials for the weakly equilibrium Cantor sets. Proceedings of the American Mathematical Society 144:9, pages 3781-3795.
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Gökalp Alpan, Alexander Goncharov & Burak Hatinoğlu. 2016. Computational Analysis. Computational Analysis 87 101 .
Giorgio Mantica. (2015) Orthogonal polynomials of equilibrium measures supported on Cantor sets. Journal of Computational and Applied Mathematics 290, pages 239-258.
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Zoé Dresse & Walter Van Assche. (2015) Orthogonal polynomials for Minkowski’s question mark function. Journal of Computational and Applied Mathematics 284, pages 171-183.
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Helge Krüger & Barry Simon. (2015) Cantor polynomials and some related classes of OPRL. Journal of Approximation Theory 191, pages 71-93.
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Giorgio Mantica. (2013) Direct and inverse computation of Jacobi matrices of infinite iterated function systems. Numerische Mathematik 125:4, pages 705-731.
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Kasso A. Okoudjou, Robert S. Strichartz & Elizabeth K. Tuley. (2013) Orthogonal Polynomials on the Sierpinski Gasket. Constructive Approximation 37:3, pages 311-340.
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