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Heat kernels of the discrete Laguerre operators

Letters in mathematical physics, 2021, Vol.111 (2), p.32-32, Article 32

Kostenko, Aleksey

2021

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On the Absolutely Continuous Spectrum of Generalized Indefinite Strings

Annales Henri Poincaré, 2021, Vol.22 (11), p.3529-3564

2021

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On the absolutely continuous spectrum of generalized indefinite strings II

Israel journal of mathematics, 2022-10, Vol.250 (1), p.307-344

2022

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On the Hamiltonian--Krein index for a non-self-adjoint spectral problem

Proceedings of the American Mathematical Society, 2018-09, Vol.146 (9), p.3907-3921

2018

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Quadratic operator pencils associated with the conservative Camassa-Holm flow

Bulletin de la Société mathématique de France, 2017-01, Vol.145 (1), p.47-95

2017

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Spectral estimates for infinite quantum graphs

Calculus of variations and partial differential equations, 2019-02, Vol.58 (1), p.1-40, Article 15

2019

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Dispersion Estimates for Spherical Schrödinger Equations

Annales Henri Poincaré, 2016-11, Vol.17 (11), p.3147-3176

2016

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An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa–Holm Equation

Communications in mathematical physics, 2014-08, Vol.329 (3), p.893-918

2014

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A note on the Gaffney Laplacian on infinite metric graphs

Journal of functional analysis, 2021-11, Vol.281 (10), p.109216, Article 109216

2021

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The inverse spectral problem for indefinite strings

Inventiones mathematicae, 2016-06, Vol.204 (3), p.939-977

2016

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The similarity problem for indefinite Sturm–Liouville operators and the HELP inequality

Advances in mathematics (New York. 1965), 2013-10, Vol.246, p.368-413

Kostenko, Aleksey

2013

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The Classical Moment Problem and Generalized Indefinite Strings

Integral equations and operator theory, 2018-04, Vol.90 (2), p.1-30, Article 23

2018

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Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow

Journal of Differential Equations, 2020-03, Vol.268 (6), p.3016-3034

2020

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Quantum graphs on radially symmetric antitrees

Journal of spectral theory, 2021-01, Vol.11 (2), p.411-460

2021

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Self‐adjoint and Markovian extensions of infinite quantum graphs

Journal of the London Mathematical Society, 2022-03, Vol.105 (2), p.1262-1313

2022

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A Glazman–Povzner–Wienholtz theorem on graphs

Advances in mathematics (New York. 1965), 2022-02, Vol.395, p.108158, Article 108158

2022

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On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators

Journal of Differential Equations, 2011-05, Vol.250 (9), p.3701-3739

2011

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Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator

Advances in mathematics (New York. 1965), 2018-07, Vol.333, p.796-821

2018

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Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering

Communications in mathematical physics, 2013-08, Vol.322 (1), p.255-275

2013

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1-D Schrödinger operators with local point interactions on a discrete set

Journal of Differential Equations, 2010-07, Vol.249 (2), p.253-304

2010

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Spectral Theory of Infinite Quantum Graphs

Annales Henri Poincaré, 2018-11, Vol.19 (11), p.3457-3510

2018

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Spectral asymptotics for canonical systems

Journal für die reine und angewandte Mathematik, 2018-03, Vol.2018 (736), p.285-315

2018

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A Note on J-positive Block Operator Matrices

Integral equations and operator theory, 2015-01, Vol.81 (1), p.113-125

Kostenko, Aleksey

2015

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On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems

Mathematische Nachrichten, 2014-10, Vol.287 (14-15), p.1710-1732

Kostenko, Aleksey

2014

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Dispersion Estimates for the Discrete Laguerre Operator

Letters in mathematical physics, 2016-04, Vol.106 (4), p.545-555

2016

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Heat kernels of the discrete Laguerre operators

On the Absolutely Continuous Spectrum of Generalized Indefinite Strings

On the absolutely continuous spectrum of generalized indefinite strings II

On the Hamiltonian--Krein index for a non-self-adjoint spectral problem

Quadratic operator pencils associated with the conservative Camassa-Holm flow

Spectral estimates for infinite quantum graphs

Dispersion Estimates for Spherical Schrödinger Equations

An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa–Holm Equation

A note on the Gaffney Laplacian on infinite metric graphs

The inverse spectral problem for indefinite strings

The similarity problem for indefinite Sturm–Liouville operators and the HELP inequality

The Classical Moment Problem and Generalized Indefinite Strings

Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow

Quantum graphs on radially symmetric antitrees

Self‐adjoint and Markovian extensions of infinite quantum graphs

A Glazman–Povzner–Wienholtz theorem on graphs

On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators

Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator

Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering

1-D Schrödinger operators with local point interactions on a discrete set

Spectral Theory of Infinite Quantum Graphs

Spectral asymptotics for canonical systems

A Note on J-positive Block Operator Matrices

On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems

Dispersion Estimates for the Discrete Laguerre Operator

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