Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds (Q2909359)

scientific article

Language	Label	Description	Also known as
English	Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds	scientific article

Statements

instance of

scholarly article

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title

Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds (English)

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author

Gerald Teschl

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Alice Mikikits-Leitner

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published in

Spectral Theory and Analysis

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publication date

30 August 2012

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full work available at URL

https://arxiv.org/abs/0902.3917

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zbMATH Keywords

scattering

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KdV hierarchy

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trace formulas

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MaRDI profile type

MaRDI publication profile

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cites work

Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials

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Kernels of Trace Class Operators

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On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments

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A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation

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On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations

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ON SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION WITH INITIAL DATA THE SUM OF A PERIODIC AND A RAPIDLY DECREASING FUNCTION

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TRACE FORMULAS AND CONSERVATION LAWS FOR NONLINEAR EVOLUTION EQUATIONS

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(Modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels revisited

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Nonselfadjoint operators, infinite determinants, and some applications

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Sum rules for Jacobi matrices and their applications to spectral theory

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Stability of periodic soliton equations under short range perturbations

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Long-time asymptotics of the periodic Toda lattice under short-range perturbations

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Effective Prüfer angles and relative oscillation criteria

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On new relations between spectral properties of Jacobi matrices and their coefficients

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Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob

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Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background

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Resonances in one dimension and Fredholm determinants

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Sum rules and the Szegő condition for orthogonal polynomials on the real line

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Algebro-geometric constraints on solitons with respect to quasi-periodic backgrounds

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Q3996935

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Sum rules for Jacobi matrices and divergent Lieb--Thirring sums

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Identifiers

zbMATH Open document ID

1259.34089

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DOI

10.1007/978-3-7643-9994-8_7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2909359