The Experts below are selected from a list of 43797 Experts worldwide ranked by ideXlab platform
Xingwei Zhou - One of the best experts on this subject based on the ideXlab platform.
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an extension of the chui shi Frame Condition to nonuniform affine operations
Applied and Computational Harmonic Analysis, 2004Co-Authors: Xu Yang, Xingwei ZhouAbstract:Abstract There have been many results for the system {a−m/2ψ(a−mx−nb)}m,n∈Z to be a Frame for L2(R), where ψ∈L2(R), a>1, and b>0. In this paper we study some general Conditions for the system ψj,k(x)=sj−1/2ψ(sj−1x−bk), j,k∈Z, to be a Frame, where sj>0 and bk are real numbers. First, we give a necessary Condition which extremely extends the one obtained by Chui and Shi in 1993. Second, we point out that the necessary Condition is also sufficient when ψ is band-limited, moreover, we give sufficient Conditions, which exclusively depend on ψ, for {ψj,k} to be a Frame for a large class of {sj} and {bk}.
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An extension of the Chui–Shi Frame Condition to nonuniform affine operations
Applied and Computational Harmonic Analysis, 2004Co-Authors: Xu Yang, Xingwei ZhouAbstract:Abstract There have been many results for the system {a−m/2ψ(a−mx−nb)}m,n∈Z to be a Frame for L2(R), where ψ∈L2(R), a>1, and b>0. In this paper we study some general Conditions for the system ψj,k(x)=sj−1/2ψ(sj−1x−bk), j,k∈Z, to be a Frame, where sj>0 and bk are real numbers. First, we give a necessary Condition which extremely extends the one obtained by Chui and Shi in 1993. Second, we point out that the necessary Condition is also sufficient when ψ is band-limited, moreover, we give sufficient Conditions, which exclusively depend on ψ, for {ψj,k} to be a Frame for a large class of {sj} and {bk}.
Xu Yang - One of the best experts on this subject based on the ideXlab platform.
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an extension of the chui shi Frame Condition to nonuniform affine operations
Applied and Computational Harmonic Analysis, 2004Co-Authors: Xu Yang, Xingwei ZhouAbstract:Abstract There have been many results for the system {a−m/2ψ(a−mx−nb)}m,n∈Z to be a Frame for L2(R), where ψ∈L2(R), a>1, and b>0. In this paper we study some general Conditions for the system ψj,k(x)=sj−1/2ψ(sj−1x−bk), j,k∈Z, to be a Frame, where sj>0 and bk are real numbers. First, we give a necessary Condition which extremely extends the one obtained by Chui and Shi in 1993. Second, we point out that the necessary Condition is also sufficient when ψ is band-limited, moreover, we give sufficient Conditions, which exclusively depend on ψ, for {ψj,k} to be a Frame for a large class of {sj} and {bk}.
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An extension of the Chui–Shi Frame Condition to nonuniform affine operations
Applied and Computational Harmonic Analysis, 2004Co-Authors: Xu Yang, Xingwei ZhouAbstract:Abstract There have been many results for the system {a−m/2ψ(a−mx−nb)}m,n∈Z to be a Frame for L2(R), where ψ∈L2(R), a>1, and b>0. In this paper we study some general Conditions for the system ψj,k(x)=sj−1/2ψ(sj−1x−bk), j,k∈Z, to be a Frame, where sj>0 and bk are real numbers. First, we give a necessary Condition which extremely extends the one obtained by Chui and Shi in 1993. Second, we point out that the necessary Condition is also sufficient when ψ is band-limited, moreover, we give sufficient Conditions, which exclusively depend on ψ, for {ψj,k} to be a Frame for a large class of {sj} and {bk}.
Andreas Witzel - One of the best experts on this subject based on the ideXlab platform.
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Characterizing perfect recall using next-step temporal operators in S5 Epistemic Temporal Logic
Journal of Logic and Computation, 2011Co-Authors: Andreas WitzelAbstract:We review the notion of perfect recall in the literature on interpreted systems, game theory and epistemic logic. In the context of Epistemic Temporal Logic (ETL), we give a (to our knowledge) novel Frame Condition for perfect recall. In contrast to existing characterizations, it is local in a sense which allows it to straightforwardly be translated into a defining formula in a language that only has next-step temporal operators. This Frame Condition also gives rise to a complete axiomatization of perfect recall in S5 ETL.
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Characterizing perfect recall using next-step temporal operators in S5 and sub-S5 Epistemic Temporal Logic
arXiv: Logic in Computer Science, 2010Co-Authors: Andreas WitzelAbstract:We review the notion of perfect recall in the literature on interpreted systems, game theory, and epistemic logic. In the context of Epistemic Temporal Logic (ETL), we give a (to our knowledge) novel Frame Condition for perfect recall, which is local and can straightforwardly be translated to a defining formula in a language that only has next-step temporal operators. This Frame Condition also gives rise to a complete axiomatization for S5 ETL Frames with perfect recall. We then consider how to extend and consolidate the notion of perfect recall in sub-S5 settings, where the various notions discussed are no longer equivalent.
P. A. Barraud - One of the best experts on this subject based on the ideXlab platform.
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Subjective vertical and postural activity.
Acta Psychologica, 1997Co-Authors: M. Luyat, Théophile Ohlmann, P. A. BarraudAbstract:Three experiments were conducted to test the effect of postural information, resulting from the active control of balance, on the perception of the vertical. Subjects were required to adjust a luminous rod in two different visual contexts: in the dark or within a tilted visual Frame. In these experiments, postural activity was manipulated by placing observers either in a situation of slight postural imbalance (Experiment 1) or in a situation of postural immobilization (Experiment 2). In both situations performance was compared with a control Condition in which subjects were standing upright freely (Experiment 1) or sitting unconstrained (Experiment 2). Results showed no main effect of active posture or of immobilization on the visual perception of the vertical. In the third experiment, subjects were supine with their Z body axis perpendicular to the plane of the luminous rod. Thus, body orientation relative to gravity was modified and motor activity reduced. In this position, the physical vertical was perceived quite accurately in a dark environment. Moreover, in the titled Frame Condition, the supine body position clearly improved vertical judgements. These results are discussed in relation to the ecological theory of orientation.
Neyas Ahmad Sheikh - One of the best experts on this subject based on the ideXlab platform.
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$A$-transform of Wavelet Frames
Communications in Mathematics and Applications, 2012Co-Authors: F. A. Shah, Neyas Ahmad SheikhAbstract:In this paper, we introduced the concept of $A$-transform $A = (a_{p,q,j,k})$ and study the action of $A$ on $f\in L^2(\mathbb{R}^+)$ and on its wavelet coefficients. Further, we also establish the Parseval Frame Condition for $A$-transform of $f \in L^2(\mathbb{R}^+)$ whose wavelet series expansion is known.
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INFINITE MATRICES, WAVELET COEFFICIENTS AND FrameS
International Journal of Mathematics and Mathematical Sciences, 2004Co-Authors: Neyas Ahmad Sheikh, Mohammad MursaleenAbstract:We study the action of A on f ∈ L 2 ( ℝ ) and on its wavelet coefficients, where A = ( a l m j k ) l m j k is a double infinite matrix. We find the Frame Condition for A -transform of f ∈ L 2 ( ℝ ) whose wavelet series expansion is known.
