Approximation in the mean on rational curves
Complex Variables
2021-12-17 v1 Functional Analysis
Abstract
In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue -space to the existence of analytic bounded point evaluations. Analogues to the complex plane results of Thomson and Brennan are obtained on rational curves.
Cite
@article{arxiv.2112.08504,
title = {Approximation in the mean on rational curves},
author = {Shibananda Biswas and Mihai Putinar},
journal= {arXiv preprint arXiv:2112.08504},
year = {2021}
}
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8 pages