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Article
Banach spaces of universal Taylor series in the disc algebra
Author/s | Bernal González, Luis
Jung, Andreas Müller, Jürgen |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2016-09 |
Deposit Date | 2016-10-26 |
Published in |
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Abstract | It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies that, for many small subsets E of the unit circle T, the restrictions to T of the partial sums of ... It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies that, for many small subsets E of the unit circle T, the restrictions to T of the partial sums of its Taylor series at the origin approximate any prescribed function on E. Moreover, it is shown that such sets necessarily have to be small in terms of porosity. |
Funding agencies | Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | FQM-127
P08-FQM-03543 info:eu-repo/grantAgreement/MINECO/MTM2015-65242-C2-1-P |
Citation | Bernal González, L., Jung, A. y Müller, J. (2016). Banach spaces of universal Taylor series in the disc algebra. Integral Equations and Operator Theory, 86 (1), 1-11. |
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