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Dynamics of the Basic Bessel Operator and Related Convolution Operators on Spaces of Entire Functions

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Abstract

We investigate the harmonic analysis associated with the basic Bessel operator in the complex plane. As an application, we study the chaotic character of the related convolution operators on some spaces of entire functions.

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Acknowledgments

The author would like to thank the anonymous reviewer for helpful comments and additional references.

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Authors and Affiliations

  1. Institut Préparatoire Aux Etudes D’Ingénieur D’Elmanar, Campus Universitaire Dél Menzah, 1060 , Tunis, Tunisia

    Lassad Bennasr

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  1. Lassad Bennasr
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Correspondence to Lassad Bennasr.

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Communicated by Palle Jorgensen.

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Bennasr, L. Dynamics of the Basic Bessel Operator and Related Convolution Operators on Spaces of Entire Functions. Complex Anal. Oper. Theory 9, 167–181 (2015). https://doi.org/10.1007/s11785-014-0389-8

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  • DOI: https://doi.org/10.1007/s11785-014-0389-8

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