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.
Jörg Eschmeier, in memoriam.
Communicated by Ernst Joachim Albrecht.
This article is part of the topical collection “Multivariable Operator Theory. The Jörg Eschmeier Memorial” edited by Raul Curto, Michael Hartz, Mihai Putinar and Ernst Albrecht.
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Biswas, S., Putinar, M. (2023). Approximation in the Mean on Rational Curves. In: Albrecht, E., Curto, R., Hartz, M., Putinar, M. (eds) Multivariable Operator Theory. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-50535-5_9
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DOI: https://doi.org/10.1007/978-3-031-50535-5_9
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Publisher Name: Birkhäuser, Cham
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