Results 1 to 10 of about 220,925 (331)

Leibenzon’s backward shift and composition operators [PDF]

Proceedings of the American Mathematical Society, 2001
Let \(n\) be a positive integer, and let \(B= B_n\) denote the open unit ball of the complex Euclidean space \(C_n\). If \(\varphi:B\to B\) is holomorphic, then the composition operator \({\mathcal C}_\varphi\) is defined by \({\mathcal C}_\varphi(f)(z)= f(\varphi(z))\), \(z\in B\), where \(f: B\to C\) is holomorphic. If \(1< p< \infty\), then the norm
Evgueni Doubtsov
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On the properties of forward and backward shifts of vector fields [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
The paper investigates some properties of recently defined forward and backward shifts of vector fields. The main purpose of the paper is to show that the forward and backward shifts of vector fields commute with the Lie bracket operator and with some ...
Arvo Kaldmäe, Vadim Kaparin, Ülle Kotta, Tanel Mullari, Ewa Pawluszewicz   +4 more
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The Kitai criterion and backward shifts [PDF]

Proceedings of the American Mathematical Society, 2008
It is proved that for any separable infinite dimensional Banach space $X$, there is a bounded linear operator $T$ on $X$ such that $T$ satisfies the Kitai Criterion. The proof is based on quasisimilarity argument and on showing that $I+T$ satisfies the Kitai Criterion for certain backward weighted shifts $T$.
Stanislav Shkarin
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Functional differences in the backward shifts of CA1 and CA3 place fields in novel and familiar environments. [PDF]

PLoS ONE, 2012
Insight into the processing dynamics and other neurophysiological properties of different hippocampal subfields is critically important for understanding hippocampal function.
Eric D Roth, Xintian Yu, Geeta Rao, James J Knierim   +3 more
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Backward position shift in apparent motion

Journal of Vision, 2014
We investigated the perceived position of visual targets in apparent motion. A disc moved horizontally through three positions from -10° to +10° in the far periphery (20° above fixation), generating a compelling impression of apparent motion. In the first experiment, observers compared the position of the middle of the three discs to a subsequently ...
Hsin-Hung Li, Won Mok Shim, Patrick Cavanagh   +2 more
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The specification property for backward shifts [PDF]

Journal of Difference Equations and Applications, 2011
This work was supported in part by MEC and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Salud Bartoll, Félix Martı́nez-Giménez, Alfredo Peris   +2 more
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Coherent manipulation of Goos–Hänchen shifts by forward and backward currents of complex conductivity in chiral medium [PDF]

Scientific Reports
The birefringence of reflection and transmission as well as their corresponding Goos–Hänchen shifts are investigated with complex conductivity in a four level chiral atomic medium.
Zia Ul Haq, Iftikhar Ahmad, Bakht Amin Bacha, Ali Akgül, Murad Khan Hassani   +4 more
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Modeling the Influence of Large Particles on Optical Properties of Nuclear Cataracts: Insights from Enhanced LOCS III-Based Computational Analysis [PDF]

Diagnostics
Background: Nuclear cataracts cause visual degradation through light scattering by aggregated proteins and particles within the crystalline lens. Existing computational models mainly consider submicron scatterers, while the optical impact of micrometer ...
Chi-Hung Lee, Yu-Jung Chen, Yung-Chi Chuang, George C. Woo, Fen-Chi Lin, Shuan-Yu Huang   +5 more
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Pseudocontinuations and the backward shift [PDF]

Indiana University Mathematics Journal, 1998
We examine the backward shift operator \(Lf= (f-f(0))/z\) on certain Banach spaces of analytic functions on the open unit disk \(D\). In particular, for a (closed) subspace \(M\) for which \(LM\subset M\), we wish to determine the spectrum, the point spectrum, and the approximate point spectrum of \(L| M\).
Alexandru Aleman, Stefan Richter, William T. Ross   +2 more
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The Commutant of an Abstract Backward Shift [PDF]

Canadian Mathematical Bulletin, 2000
AbstractA bounded linear operator T on a Banach space X is an abstract backward shift if the nullspace of T is one dimensional, and the union of the null spaces of Tk for all k ≥ 1 is dense in X. In this paper it is shown that the commutant of an abstract backward shift is an integral domain. This result is used to derive properties of operators in the
Bruce A. Barnes
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