Results 41 to 50 of about 1,083,140 (374)
RESOLVENT ESTIMATES OF THE DIRAC OPERATOR
Analysis, 1995 We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded.
Pladdy, Chris +2 more
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On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]
, 2017 We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M. +3 more
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators [PDF]
Journal of Mathematical PhysicsWe obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schrödinger and Pauli operators in dimension three. These operators are treated as perturbations of the Laplace operator in L2(R3) and L2(R3;C2), respectively.
Arne Jensen, Hynek Kovařík
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$(C,B)$-resolvents of closed linear operators
Novi Sad Journal of Mathematics, 2022 Summary: In this note, we analyze \((C,B)\)-resolvents of closed linear operators in sequentially complete locally convex spaces. We provide a simple application in the qualitative analysis of solutions of abstract degenerate Volterra integro-differential equations.
Chaouchi, Belkacem, Kostić, Marko
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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International Journal of Differential Equations, 2013 We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
doaj +1 more source
, 2015 We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing ...
Cherednichenko, Kirill D. +1 more
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Resonance fluorescence in the resolvent-operator formalism [PDF]
Physical Review A, 2017 The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
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Mathematical Problems in Engineering, 2019 Total variation image denoising models have received considerable attention in the last two decades. To solve constrained total variation image denoising problems, we utilize the computation of a resolvent operator, which consists of a maximal monotone ...
Bao Chen, Yuchao Tang
semanticscholar +1 more source
Operators with hermitian resolvent
Advances in Mathematics, 1987 For the pseudofifferential operator \(T_{\sigma}: {\mathcal S}\to L^ p({\mathbb{R}}^ n)\) (\({\mathcal S}\) being the Schwartz space) and the complex- valued, measurable function q the space \({\mathcal D}\) is defined to be the set of all functions \(\phi\in {\mathcal S}\) such that \(q\phi\) is in L p(\({\mathbb{R}}^ n\)) and the operator \(T ...
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