A short note on the chaoticity of a weight shift on concrete orthonormal basis associated to some Fock-Bargmann space
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Publication:5414734
DOI10.1063/1.4861931zbMath1303.47014OpenAlexW2076607708MaRDI QIDQ5414734
Publication date: 7 May 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4861931
Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15) Cyclic vectors, hypercyclic and chaotic operators (47A16)
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Cites Work
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- On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space
- An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces
- Scattering analysis of the cubic Heun operator in Bargmann space
- Hypercyclic and cyclic vectors
- Chaotic behavior of the Riesz transforms for Hermite expansions
- Pathological hypercyclic operators
- Sequences of derivatives and normal families
- On a Hilbert space of analytic functions and an associated integral transform part I
- On Devaney's Definition of Chaos
- Universal families and hypercyclic operators
- Hypercyclic and chaotic weighted shifts
- Linear Chaos in the Unforced Quantum Harmonic Oscillator
- Construction of concrete orthonormal basis for (L2, Γ, χ)-theta functions associated to discrete subgroups of rank one in $({\mathbb {C}},+)$(C,+)
- Chaotic unbounded differentiation operators