Hypercyclicity and chaotic character of generalized convolution operators generated by Gel'fond-Leont'ev operators
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Publication:1034000
DOI10.1134/S000143460905023XzbMath1197.47018OpenAlexW2000354680MaRDI QIDQ1034000
Publication date: 10 November 2009
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s000143460905023x
Fréchet spacetopological vector spaceDunkl operatorGel'fond-Leont'ev generalized differentiationgeneralized convolution operatorgeneralized Laplace transform
Related Items (4)
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator ⋮ On Gelfond-Leontiev operators of generalized differentiation ⋮ Generalized Bessel–Struve Operator and Its Properties ⋮ Dynamics of the basic Bessel operator and related convolution operators on spaces of entire functions
Cites Work
- Operators with dense, invariant, cyclic vector manifolds
- Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\)
- Hypercyclic and chaotic convolution operators on Chébli-Trimèche hypergroups
- Sequences of derivatives and normal families
- Universal Vectors for Operators on Spaces of Holomorphic Functions
- Differential-Difference Operators Associated to Reflection Groups
- On Devaney's Definition of Chaos
- Universal families and hypercyclic operators
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