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.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
Mathematics Subject Classification
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-031-50535-5_9
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-50534-8
Online ISBN: 978-3-031-50535-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)