Article
A dynamical characterization of sub-Arakelian subsets
Author/s | Calderón Moreno, María del Carmen
Prado Bassas, José Antonio |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2013-09-15 |
Deposit Date | 2016-09-27 |
Published in |
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Abstract | We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via ... We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via similarities that are bounded on such a sub-Arakelian set, then it is shown that its algebraic size is as large as possible. As a consequence, we prove that the set of universal entire functions bounded on every (straight) line is algebraically large. |
Funding agencies | Junta de Andalucía Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | FQM-127
P08-FQM-03543 MTM2012- 34847-C02-01 |
Citation | Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2013). A dynamical characterization of sub-Arakelian subsets. Journal of Mathematical Analysis and Applications, 405 (2), 499-506. |
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