Results 21 to 30 of about 1,742 (269)

On One Method of Studying Spectral Properties of Non-selfadjoint Operators

open access: yesAbstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
doaj   +1 more source

ON RESOLVING SINGULARITIES [PDF]

open access: yesJournal of the London Mathematical Society, 2001
Let V be an irreducible affine algebraic variety over a field k of characteristic zero, and let (f_0,...,f_m) be a sequence of elements of the coordinate ring. There is probably no elementary condition on the f_i and their derivatives which determines whether the blowup of V along (f_0,...,f_m) is nonsingular. The result is that there indeed is such an
openaire   +3 more sources

Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces

open access: yesDemonstratio Mathematica, 2023
In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded
Kimura Yasunori, Shindo Keisuke
doaj   +1 more source

Unique solvability of boundary value problem for functional differential equations with involution

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign.
K.Zh. Nazarova, K.I. Usmanov
doaj   +1 more source

Separability of the third-order differential operator given on the whole plane

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity.
A.O. Suleimbekova
doaj   +1 more source

Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
For a mixed problem defined by a wave equation with a summable potential equal-order boundary conditions with a derivative and a zero initial position, the properties of the formal solution by the Fourier method are investigated depending on the ...
Kurdyumov, Vitalii Pavlovich   +2 more
doaj   +1 more source

A study of resolvent set for a class of band operators with matrix elements

open access: yesConcrete Operators, 2016
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
doaj   +1 more source

Genomic Diversity and Clinical Variability in Pediatric Primary Cutaneous Anaplastic Large Cell Lymphoma: A Case Series

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Primary cutaneous anaplastic large cell lymphoma (pcALCL) is a rare pediatric CD30‐positive T‐cell lymphoproliferative disorder with an excellent prognosis, but its genomic drivers are poorly defined. We report three children with skin‐limited disease demonstrating striking molecular heterogeneity, including NPM::ALK, NUP214::FRK, and a novel ...
Shoshana Greenberger   +7 more
wiley   +1 more source

Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces

open access: yesMathematics, 2019
The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
doaj   +1 more source

Entanglement of a chiral scalar on the torus

open access: yesJournal of High Energy Physics
We compute the entanglement entropy of an interval for a chiral scalar on a circle at an arbitrary temperature. We use the resolvent method, which involves expressing the entropy in terms of the resolvent of a certain operator, and we compute that ...
Nicolás Abate   +4 more
doaj   +1 more source

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