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Experimental Mathematics Volume 12, 2003 - Issue 4
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Original Articles

Sampling on the Sierpinski Gasket

Richard Oberlin Math Dept., Florida State University, Tallahassee, FL, 32306; Mathematics Department, University of Wisconsin, Madison, WI, 53706 E-mail: [email protected]
,
Brian Street Math Department, Fine Hall, Princeton University, Princeton, NJ, 08544 E-mail: [email protected]
&
Robert S. Strichartz Mathematics Department, Malott Hall, Cornell University, Ithaca, NY, 14853 E-mail: [email protected]
Pages 403-418 | Published online: 05 Apr 2012

Citations (15)

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Read on this site (2)

StevenM. Heilman, Philip Owrutsky & RobertS. Strichartz. (2011) Orthogonal Polynomials with Respect to Self-Similar Measures. Experimental Mathematics 20:3, pages 238-259.
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Adam Allan, Michael Barany & Robert S. Strichartz. (2009) Spectral operators on the Sierpinski gasket I. Complex Variables and Elliptic Equations 54:6, pages 521-543.
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Articles from other publishers (13)

Allison Byars, Evan Camrud, Steven N. Harding, Sarah McCarty, Keith Sullivan & Eric S. Weber. (2021) Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]. Demonstratio Mathematica 54:1, pages 85-109.
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Robert J. Ravier & Robert S. Strichartz. (2016) Sampling Theory with Average Values on the Sierpinski Gasket. Constructive Approximation 44:2, pages 159-194.
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Jason Bello∗, Yiran Li & Robert S. Strichartz†. 2015. Excursions in Harmonic Analysis, Volume 3. Excursions in Harmonic Analysis, Volume 3 23 62 .
MATTHEW BEGUÉ, TRISTAN KALLONIATIS & ROBERT S. STRICHARTZ. (2013) HARMONIC FUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET. Fractals 21:01, pages 1350002.
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Robert S. Strichartz & Alexander Teplyaev. (2012) Spectral analysis on infinite Sierpiński fractafolds. Journal d'Analyse Mathématique 116:1, pages 255-297.
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Sarah Constantin, Robert Strichartz & Miles Wheeler. (2010) Analysis of the Laplacian and spectral operators on the Vicsek set. Communications on Pure and Applied Analysis 10:1, pages 1-44.
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Yves Achdou, Christophe Sabot & Nicoletta Tchou. (2007) Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary. Journal of Computational Physics 220:2, pages 712-739.
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Robert S. Strichartz. (2006) Convergence of mock Fourier series. Journal d'Analyse Mathématique 99:1, pages 333-353.
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Yves Achdou, Christophe Sabot & Nicoletta Tchou. (2006) Diffusion and propagation problems in some ramified domains with a fractal boundary. ESAIM: Mathematical Modelling and Numerical Analysis 40:4, pages 623-652.
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Yves Achdou, Christophe Sabot & Nicoletta Tchou. (2006) A Multiscale Numerical Method for Poisson Problems in Some Ramified Domains with a Fractal Boundary. Multiscale Modeling & Simulation 5:3, pages 828-860.
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Robert S. Strichartz. (2005) Solvability for differential equations on fractals. Journal d'Analyse Mathématique 96:1, pages 247-267.
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Robert Strichartz. (2004) Analysis on products of fractals. Transactions of the American Mathematical Society 357:2, pages 571-615.
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KEVIN COLETTA, KEALEY DIAS & ROBERT S. STRICHARTZ. (2011) NUMERICAL ANALYSIS ON THE SIERPINSKI GASKET, WITH APPLICATIONS TO SCHRÖDINGER EQUATIONS, WAVE EQUATION, AND GIBBS' PHENOMENON. Fractals 12:04, pages 413-449.
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