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GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL INEQUALITIES AND FUNCTIONAL EQUATIONS
In this paper, the definitions of the stability of functional inequalities and functional equations are given. Also we prove the generalized Hyers-Ulam-Rassias stability of the follow- ing functional…
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Construction and characterizations of orthogonal vector-valued multivariate wavelet packets
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Realization of allowable qeneralized quantum gates
AbstractThe most general duality gates were introduced by Long, Liu and Wang and named allowable generalized quantum gates (AGQGs, for short). By definition, an allowable generalized quantum gate has…
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Stability of Functional Equations in Several Variables
In this note, we prove a generalization of Hyers’ theorem on the stability of approximately additive mapping and a generalization of Badora’s theorem on an approximate ring homomorphism. We also…
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Characterizations and Extensions of Lipschitz–α Operators
In this work, we prove that a map F from a compact metric space K into a Banach space X over $${\Bbb F}$$ is a Lipschitz–α operator if and only if for each σ in X* the map σ∘F is a Lipschitz–α…
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Construction and decomposition of biorthogonal vector-valued wavelets with compact support
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An upper bound for the generalized adiabatic approximation error with a superposition initial state
The classical adiabatic approximation theory gives an adiabatic approximate solution to the Schrödinger equation (SE) by choosing a single eigenstate of the Hamiltonian as the initial state. The…
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Local derivations of nest subalgebras of von Neumann algebras
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Necessary Conditions and Sufficient Conditions of the Wave Packet Frames in L 2 ( R n ) 1
Abstract. The main goal of this paper is to consider the necessary conditions and sufficient conditions of wave packet systems to be frames in higher dimensions. We establish the necessary conditions…
Uncertainty relations with the generalized Wigner–Yanase–Dyson skew information
TLDR
The generalized Wigner–Yanase–Dyson correlation and the related quantities are introduced and several generalizations of uncertainty relation expressed in terms of the generalizedWigner-Yanase-Dyson skew information are established.
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