On linear dynamics in quantum calculus

DOI10.1007/s00025-013-0354-2zbMath1292.81076OpenAlexW2020441094MaRDI QIDQ2016027

Med Saber Ben Hammouda, Lassad Bennasr, Ahmed Fitouhi

Publication date: 18 June 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0354-2

zbMATH Keywords

\(q\)-analoguesconvolutionPaley-Wiener theorementire functionshypercyclic and chaotic operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Integral transforms in distribution spaces (46F12) Quantum chaos (81Q50) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric integrals and functions defined by them (33D60) Special classes of entire functions of one complex variable and growth estimates (30D15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (2)

On transmutation operators of the generalized Bessel operator in spaces of analytic functions ⋮ Dynamics of the basic Bessel operator and related convolution operators on spaces of entire functions

Cites Work

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• Sequences of derivatives and normal families
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• Hypercyclic and Chaotic Convolution Operators

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