On some integral operators appearing in scattering theory, and their resolutions [PDF]
arXiv, 2019 We discuss a few integral operators and provide expressions for them in terms of smooth functions of some natural self-adjoint operators. These operators appear in the context of scattering theory, but are independent of any perturbation theory. The Hilbert transform, the Hankel transform, and the finite interval Hilbert transform are among the ...
arxiv
On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators
Journal of Function Spaces, 2016 We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem.
M. Mursaleen +2 more
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Operator Theory and Harmonic Analysis
Springer Proceedings in Mathematics & statistics, 2021 D. Albrecht, X. Duong, A. Mcintosh
semanticscholar +1 more source
On some operator identities and representations of algebras [PDF]
arXiv, 1993 Certain infinite families of operator identities related to powers of positive root generators of (super) Lie algebras of first-order differential operators and $q$-deformed algebras of first-order finite-difference operators are presented.
arxiv
The Second Regularized Trace of Even Order Differential Operators with Operator Coefficient [PDF]
arXiv, 2019 In this paper, we investigate the spectrum of the self adjoint differential operator with operator coefficitent in a separable Hilbert space. We also derive asymptotic formulas for the sum of eigenvalues of this operator.
arxiv
A Criterion for Hill Operators to be Spectral Operators of Scalar Type [PDF]
arXiv, 2006 We derive necessary and sufficient conditions for a Hill operator (i.e., a one-dimensional periodic Schr\"odinger operator) $H=-d^2/dx^2+V$ to be a spectral operator of scalar type. The conditions show the remarkable fact that the property of a Hill operator being a spectral operator is independent of smoothness (or even analyticity) properties of the ...
arxiv
Existence results for regularized equations of second-grade fluids with wall slip
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we study the equations governing the steady motion of a class of second-grade fluids in a bounded domain of $\mathbb{R}^n$, ${n=2,3}$, with the nonlinear slip boundary condition.
Evgenii Baranovskii
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The behavior of functions of operators under perturbations [PDF]
arXiv, 2009 This is a survey article. We consider different problems in connection with the behavior of functions of operators under perturbations of operators. We deal with three classes of operators: unitary operators, self-adjoint operators, and contractions. We study operator Lipschitz and operator differentiable functions.
arxiv
Newton-Wigner position operator and its corresponding spin operator in relativistic quantum mechanics [PDF]
arXiv, 2014 A relativistic spin operator is to be the difference between the total and orbital angular momentum. As the unique position operator for a localized state, the remarkable Newton-Wigner position operator, which has all desirable commutation relations as a position operator, can give a proper spin operator.
arxiv
Matrix Compact Sets and Operator Approximation Properties [PDF]
arXiv, 1998 The relationship between the operator approximation property and the strong operator approximation property has deep significance in the theory of operator algebras. The original definitions of Effros and Ruan, unlike the classical analogues, make no mention of compact operators or compact sets.
arxiv