Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\)

DOI10.1007/s10474-005-0009-1zbMath1085.44003OpenAlexW2055105357MaRDI QIDQ812804

Mohamed Sifi, Khalifa Trimèche, Jorge J. Betancor

Publication date: 26 January 2006

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-005-0009-1

zbMATH Keywords

convolutionentire functionsDunkl transformshypercyclic and chaotic operatorsDunkl convolution operatorsDunkl translation operators

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Classical operational calculus (44A45)

Related Items (13)

Dunkl convolution operators and their properties ⋮ Composition operators of convolution and multiplication by a function ⋮ Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator ⋮ On Segal--Bargmann analysis for finite Coxeter groups and its heat kernel ⋮ On Gelfond-Leontiev operators of generalized differentiation ⋮ Generalization of the Dunkl operator on the space of entire functions ⋮ Commutation relations and hypercyclic operators ⋮ On one class of differential equations with polynomial coefficients ⋮ Dunkl operators as convolutions ⋮ On linear dynamics in quantum calculus ⋮ Retracted article: ``Convolution operators associated with the generalized Airy operator on the complex plane ⋮ Dynamics of the basic Bessel operator and related convolution operators on spaces of entire functions ⋮ Hypercyclicity and chaotic character of generalized convolution operators generated by Gel'fond-Leont'ev operators

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