Results 21 to 30 of about 537,045 (330)
Integrated Resolvent Operators [PDF]
Journal of Integral Equations and Applications, 1995 Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
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Integral Representations for the Class of Generalized Metaplectic Operators [PDF]
, 2015 This article gives explicit integral formulas for the so-called generalized metaplectic operators, i.e. Fourier integral operators (FIOs) of Schr\"odinger type, having a symplectic matrix as canonical transformation.
Cordero, E., Nicola, F., Rodino, L.
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Integral operators with operator-valued kernels
Journal of Mathematical Analysis and Applications, 2004 Let \((X,\|.\|_X),(Y,\|.\|_Y)\) be Banach spaces with norms \(\|.\|_X\), \(\|.\|_Y\), and let \((S,{\mathcal S},v)\), \((T,{\mathcal T},\mu)\), be \(\sigma\)-finite measure spaces. If \(1\leq p \alpha\})= 0\}. \] The class of bounded linear operators from \(X\) into \(Y\) is denoted by \({\mathcal B}(X,Y)\), and the adjoint space of bounded linear ...
Girardi, Maria, Weis, Lutz
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Singular integral operators on tent spaces [PDF]
, 2012 We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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Integral Operators on Lattices [PDF]
Order, 2022 This paper introduces the notion of integral operators on lattices and studies their role in understanding lattices, their classification and their derived structures. As is well known, the derivation, or differential operator, and integral operator are fundamental in analysis and its broad applications.
Aiping Gan, Li Guo, Shoufeng Wang
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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
IEEE Access, 2019 Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Young Chel Kwun +5 more
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Fast Computation of Fourier Integral Operators [PDF]
, 2006 We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel +2 more
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Refinements of Some Integral Inequalities for φ-Convex Functions
Journal of Mathematics, 2020 In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators ...
Moquddsa Zahra +2 more
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Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators
Fractal and Fractional, 2022 This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for ...
Mustafa Gürbüz +2 more
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The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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