On Harmonic analysis associated with the hyper-Bessel operator on the complex plane
M. S. Ben Hammouda, L. Bennasr, and Ahmed Fitouhi
TL;DR
This paper explores harmonic analysis linked to the hyper-Bessel operator on the complex plane and demonstrates that certain convolution operators exhibit chaotic behavior.
Contribution
It introduces the harmonic analysis framework for the hyper-Bessel operator and proves the chaotic nature of related convolution operators.
Findings
Chaotic behavior of convolution operators associated with the hyper-Bessel operator
Development of harmonic analysis tools for the hyper-Bessel operator on C
New insights into the dynamics of hyper-Bessel related operators
Abstract
We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Differential Equations and Boundary Problems