Article
Common hypercyclic functions for multiples of convolution and non-convolution operators
Author/s | Bernal González, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2009-11 |
Deposit Date | 2019-06-19 |
Published in |
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Abstract | We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less ... We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients. |
Project ID. | FQM-127
MTM2006-13997-C02-01 MTM2006-26627-E |
Citation | Bernal González, L. (2009). Common hypercyclic functions for multiples of convolution and non-convolution operators. Proceedings of the American Mathematical Society, 137 (11), 3787-3795. |
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