Approximation in the Mean on Rational Curves

Shibananda Biswas () and Mihai Putinar ()
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Shibananda Biswas: Indian Institute of Science Education and Research Kolkata, Department of Mathematics and Statistics
Mihai Putinar: University of California at Santa Barbara

A chapter in Multivariable Operator Theory, 2023, pp 219-227 from Springer

Abstract: Abstract In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue $$L^2$$ 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.

Keywords: Bounded point evaluation; Rational approximation; Subnormal operator; Rational curve; 41A10; 41A20; 47B20; 14H45 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_9

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DOI: 10.1007/978-3-031-50535-5_9

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