Artículo
Interpolation by hypercyclic functions for differential operators
Autor/es | Bernal González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2009-04 |
Fecha de depósito | 2019-06-21 |
Publicado en |
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Resumen | We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed
values at the points of the sequence and, simultaneously, having dense orbit in the space ... We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed values at the points of the sequence and, simultaneously, having dense orbit in the space of holomorphic functions on Ω. The orbit is taken with respect to any fixed non-scalar differential operator generated by an entire function of subexponential type, thereby extending a recent result about MacLane-hypercyclicity due to Costakis, Vlachou and Niess. |
Identificador del proyecto | FQM-127
MTM2006-13997-C02-01 MTM2006-26627-E |
Cita | Bernal González, L. (2009). Interpolation by hypercyclic functions for differential operators. Journal of Approximation Theory, 157 (2), 134-143. |
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