Search Results - "Naboko, Serguei"
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1
Moment analysis for localization in random Schrödinger operators
Published in Inventiones mathematicae (01-02-2006)“…We study localization effects of disorder on the spectral and dynamical properties of Schrödinger operators with random potentials. The new results include…”
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2
The critical temperature for the BCS equation at weak coupling
Published in The Journal of geometric analysis (01-01-2007)“…For the BCS equation with local two-body interaction lambda V(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as lambda…”
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3
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications
Published in Integral equations and operator theory (01-05-2009)“… We study generalized polar decompositions of densely defined closed linear operators in Hilbert spaces and provide some applications to relatively (form)…”
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4
Nonself-adjoint operators with almost Hermitian spectrum: Matrix model. I
Published in Journal of computational and applied mathematics (15-09-2006)“…Nonself-adjoint, nondissipative perturbations of bounded self-adjoint operators with real purely singular spectrum are considered. Using a functional model of…”
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5
On the point spectrum of periodic Jacobi matrices with matrix entries: elementary approach
Published in Journal of difference equations and applications (02-11-2015)“…This work consists of two parts. The first one contains a characterization (localization) of the point spectrum of one sided, infinite and periodic Jacobi…”
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6
Essential spectrum of a system of singular differential operators and the asymptotic Hain--Lüst operator
Published in Proceedings of the American Mathematical Society (01-06-2002)“…We consider a matrix differential operator with singular entries which arises in magnetohydrodynamics. By means of the asymptotic Hain-Lüst operator and some…”
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7
Jacobi matrices with absolutely continuous spectrum
Published in Proceedings of the American Mathematical Society (01-03-1999)“…Let J be a Jacobi matrix defined in l^2 as Re W, where W is a unilateral weighted shift with nonzero weights \lambda_k such that \lim_k \lambda_k = 1. Define…”
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8
Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
Published in Journal of the London Mathematical Society (01-06-2008)“…Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the…”
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9
Unbounded Jacobi matrices at critical coupling
Published in Journal of approximation theory (01-04-2007)“…We consider a class of Jacobi matrices with unbounded coefficients. This class is known to exhibit a first-order phase transition in the sense that, as a…”
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10
Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis
Published in Journal of approximation theory (01-11-2009)“…For a two-parameter family of Jacobi matrices exhibiting first-order spectral phase transitions, we prove discreteness of the spectrum in the positive real…”
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11
The Abstract Titchmarsh-Weyl M-function for Adjoint Operator Pairs and its Relation to the Spectrum
Published in Integral equations and operator theory (01-03-2009)“… In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M -function see the same singularities as the resolvent…”
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12
Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples
Published in Integral equations and operator theory (01-02-2011)“…We give explicit examples of unbounded Jacobi operators with a few gaps in their essential spectrum. More precisely a class of Jacobi matrices whose absolutely…”
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13
Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure
Published in Arkiv för matematik (01-04-2009)“…Nonself-adjoint, non-dissipative perturbations of possibly unbounded self-adjoint operators with real purely singular spectrum are considered under an…”
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14
Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case
Published 22-11-2019“…We consider a class of Jacobi matrices with unbounded entries in the so called critical (double root, Jordan box) case. We prove a formula for the spectral…”
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15
The Inverse Resonance Problem for Hermite Operators
Published in Constructive approximation (01-10-2009)“…In this paper the inverse resonance problem for the Hermite operator is investigated. The Hermite operator with the creation operator , the annihilation…”
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16
Decay Bounds on Eigenfunctions and the Singular Spectrum of Unbounded Jacobi Matrices
Published in International mathematics research notices (01-01-2009)“…Bounds on the exponential decay of generalized eigenfunctions of bounded and unbounded selfadjoint Jacobi matrices in are established. Two cases are considered…”
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17
Spectral Analysis of Selfadjoint Jacobi Matrices with Periodically Modulated Entries
Published in Journal of functional analysis (01-06-2002)“…This paper deals with the spectral analysis of a class of selfadjoint unbounded Jacobi matrices J with modulated entries. The entries have the form of smooth…”
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18
Complete Non-Selfadjointness for Schr\"odinger Operators on the Semi-Axis
Published 21-08-2021“…In this note we investigate complete non-selfadjointness for all maximally dissipative extensions of a Schr\"odinger operator on a half-line with dissipative…”
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19
Spectral theory for a class of periodically perturbed unbounded Jacobi matrices: elementary methods
Published in Journal of computational and applied mathematics (01-10-2004)“…We use elementary methods to give a full characterization of the spectral properties of unbounded Jacobi matrices with zero diagonal and off-diagonal entries…”
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20
Jacobi Matrices with Power-like Weights—Grouping in Blocks Approach
Published in Journal of functional analysis (20-08-1999)“…The paper deals with Jacobi matrices with weights λk given by λk=kα(1+Δk), where α∈(12, 1) and limkΔk=0. The main question studied here concerns when the…”
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