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Bloch oscillations in free space?

Physics Letters A, 1990
Abstract The validity of the Bloch oscillation concept is considered. It is demonstrated that this type of motion is neither physically reasonable nor consistent with the correspondence principle. An exact solution to Schrodinger's equation for empty space is constructed to prove that periodic time-dependence does not result from interference effects
J.N. Churchill, F.E. Holmstrom
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Weighted Bloch spaces which are Banach spaces

Rendiconti del Circolo Matematico di Palermo, 2013
Let \(D\) be the unit disk in the complex plane and \(\omega\) a non-negative function on \(D\). An analytic function \(f\) in \(D\) belongs to the \textit{weighted Bloch space} \(\mathcal B_\omega\) if \[ \|f\|_\omega=|f(0)|+\sup_{z\in D} \omega(z) |f'(z)|
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Superposition operators between normal weight bloch spaces

Monatshefte für Mathematik, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inner Functions, Bloch Spaces and Symmetric Measures

Proceedings of the London Mathematical Society, 1999
In the main theorem of the paper under review, the authors construct an inner function \(I\) which, in a sense, decreases hyperbolic distances as much as desired for \(| z| \to1\). Then this theorem is applied to prove several results on composition operators, Zygmund functions and the existence of certain singular measures.
Aleksandrov, A. B.   +2 more
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Composition operators on µ-Bloch type spaces

Rendiconti del Circolo Matematico di Palermo, 2010
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Giménez, José   +2 more
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On an integral-type operator from iterated logarithmic Bloch spaces into Bloch-type spaces

Applied Mathematics and Computation, 2009
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Li, Songxiao, Stević, Stevo
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On new Bloch-type spaces

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The $$\alpha $$-Bloch Spaces

2023
Le Hai Khoi, Javad Mashreghi
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Composition Operators Between Harmonic Bloch-Type Spaces

Bulletin of the Malaysian Mathematical Sciences Society
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Ebrahim Abbasi   +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

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