Composition operators between p -Bloch space and q -Bloch space in the unit ball*
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Zhou, Zehua, Zeng, Honggang
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Observation and uses of position-space Bloch oscillations in an ultracold gas
We report the direct observation and characterization of position-space Bloch oscillations using an ultracold gas in a tilted optical lattice. While Bloch oscillations in momentum space are a common feature of optical lattice experiments, the real-space ...
Driben, Rodislav +10 more
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Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry [PDF]
We describe some applications of group- and bundle-theoretic methods in solid state physics, showing how symmetries lead to a proof of the localization of electrons in gapped crystalline solids, as e.g. insulators and semiconductors.
Monaco, Domenico, Panati, Gianluca
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Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
Band topology of materials describes the extent Bloch wavefunctions are twisted in momentum space. Such descriptions rely on a set of topological invariants, generally referred to as topological charges, which form a characteristic class in the ...
Haoran Xue +6 more
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Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics [PDF]
We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing.
B. Aebischer +7 more
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Composition Operators and the Closure of Morrey Space in the Bloch Space
In this paper, we characterize the closure of the Morrey space in the Bloch space. Furthermore, the boundedness and compactness of composition operators from the Bloch space to the closure of the Morrey space in the Bloch space are investigated.
Nanhui Hu, Xiangling Zhu
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Toeplitz-Superposition Operators on Analytic Bloch Spaces [PDF]
The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets.
M. A. Bakhit, A. El-Sayed Ahmed
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Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.
Cheng Yuan, Cezhong Tong
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Integral type operators from normal weighted Bloch spaces to QT,S spaces
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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Weighted Composition Operators from Logarithmic Bloch-Type Spaces to Bloch-Type Spaces
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Agarwal RaviP, Stević Stevo
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