Descripción
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The study of the hypercyclicity of an operator is an old problem in mathematics; it goes back to a paper of Birkho in 1929 proving the hypercyclicity of the translation operators in the space of all entire functions with the topology of uniform convergence on compact subsets. This article studies the hypercyclicity of translation operators in some general reproducing kernel Hilbert spaces of entire functions. These spaces are obtained by duality in a complex separable Hilbert space H by means of an analytic H-valued kernel. A link with the theory of de Branges spaces is also established. An illustrative example taken from the Hamburger moment problem theory is included. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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Osaka J Math |
ISSN
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0030-6126 |
Factor de impacto JCR
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0,402 |
Información de impacto
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Volumen
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52 |
DOI
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Número de revista
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Desde la página
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581 |
Hasta la página
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599 |
Mes
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SIN MES |
Ranking
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