Hankel convolution operators on entire functions and distributions |
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| Authors: | M. BelhadjJ.J. Betancor |
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| Affiliation: | Departamento de Análisis Matemático, Universidad de La Laguna, Islas Canarias, La Laguna, Tenerife 38271, Spain |
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| Abstract: | In this paper we study the Hankel convolution operators on the space of even and entire functions and on Schwartz distribution spaces. We characterize the Hankel convolution operators as those ones that commute with Hankel translations and with a Bessel operator. Also we prove that the Hankel convolution operators are hypercyclic and chaotic on the spaces under consideration. |
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| Keywords: | Schwartz distributions Hankel transformation Convolution Cyclic and chaotic operators |
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