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arxiv: 1506.07162 · v2 · submitted 2015-06-23 · 🧮 math-ph · math.MP

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On the density of polynomials under perturbations of the measure

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classification 🧮 math-ph math.MP
keywords densemathbbmeasurepolynomialsdensityerroneousfiniteperturbations
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This paper presents an erroneous proof that if the polynomials are dense in $L_2(\mathbb{R}, \rho)$, then they are dense in $L_2(\mathbb{R}, \rho+\mu)$ where $\mu$ is a measure supported on a finite set of points.

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