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Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator

 

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Opened Access Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
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Author: Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2016
Published in: Mediterranean Journal of Mathematics
Document type: Article
Abstract: For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
Cite: Bernal González, L. y Bonilla Ramírez, A.L. (2016). Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator. Mediterranean Journal of Mathematics
Size: 199.0Kb
Format: PDF

URI: http://hdl.handle.net/11441/43875

DOI: 10.1007/s00009-016-0690-z

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