Results 11 to 20 of about 16,791 (265)
Higher-Order Differential Operators on a Lie Group and Quantization [PDF]
International Journal of Modern Physics A, 1997 This talk is devoted mainly to the concept of higher-order polarization on a group, which is introduced in the framework of a Group Approach to Quantization, as a powerful tool to guarantee the irreducibility of quantization and/or representations of Lie groups in those anomalous cases where the Kostant–Kirilov co-adjoint method or the Borel–Weyl–Bott
Aldaya, V., Guerrero, J., Marmo, G.
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Lieb–Thirring inequalities for higher order differential operators [PDF]
Mathematische Nachrichten, 2008 AbstractWe derive Lieb–Thirring inequalities for the Riesz means of eigenvalues of order γ ≥ 3/4 for a fourth order operator in arbitrary dimensions. We also consider some extensions to polyharmonic operators, and to systems of such operators, in dimensions greater than one.
Förster, Clemens, Östensson, Jörgen
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A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging. [PDF]
PLoS ONE, 2015 Texture enhancement is one of the most important techniques in digital image processing and plays an essential role in medical imaging since textures discriminate information.
Qiang Yu +3 more
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Higher-Order Symmetries of a Time-Fractional Anomalous Diffusion Equation
Mathematics, 2021 Higher-order symmetries are constructed for a linear anomalous diffusion equation with the Riemann–Liouville time-fractional derivative of order α∈(0,1)∪(1,2).
Rafail K. Gazizov +1 more
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On Higher Order Positive Differential Energy Operator
CoRR, 2017 The higher order differential energy operator (DEO), denoted via $Υ_k(x)$, is an extension to the second order famous Teager-Kaiser operator. The DEO helps measuring the higher order gauge of energy of a signal which is useful for AM-FM demodulation. However, the energy criterion defined by the DEO is not compliant with the presumption of positivity of
Amirhossein Javaheri +1 more
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Dualities and Asymptotic Mixtures Using Functional-Order Differentiation
AppliedMath, 2022 New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
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Alexandria Engineering Journal, 2021 Electrochemical double layer capacitors accumulate charges electrostatically and are the unique electrical storage device that can store much more energy than conventional capacitors.
Kashif Ali Abro +3 more
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Higher Integrability of the Composite Operator T D G for Differential Forms
Journal of Harbin University of Science and Technology, 2023 We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
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Higher order nonlinear degenerate differential operator equations
Applied Mathematics Letters, 2009 The authors present optimal regularity results in \(L^p(0,a;E)\) for nonlocal boundary value problems for higher order nonlinear degenerate differential operator equations of the type \[ (-1)^m u^{[2m]}(x) +\sum_{i=0}^{2m-1} A_i(x) u^{[i]}(x)+Au(x)=F(x,u, u^{[1]},\dots,u^{[2m-1]}) \] with boundary conditions \[ \sum_{i=0}^{m_k}\alpha_{ki}u^{[i]}(0 ...
Agarwal, Ravi P. +2 more
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Formal Factorization of Higher Order Irregular Linear Differential Operators [PDF]
Arnold Mathematical Journal, 2018 We study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of the Newton diagram and the respective characteristic numbers) is known for quite some time, though the proofs are rather involved.
Leanne Mezuman, Sergei Yakovenko
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