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arXiv · 2112.08504

Approximation in the mean on rational curves

Shibananda Biswas·Mihai Putinar
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Abstract

In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue $L^2$-space to the existence of analytic bounded point evaluations. Analogues to the complex plane results of Thomson and Brennan are obtained on rational curves.

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Shibananda Biswas, Mihai Putinar. 2021-12-15. Approximation in the mean on rational curves. https://arxiv.org/abs/2112.08504

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