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List of works by Gerald Teschl

A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains

A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations

A dynamic uncertainty principle for Jacobi operators

scholarly article by Isaac Alvarez-Romero & Gerald Teschl published May 2017 in Journal of Mathematical Analysis and Applications

A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone

scientific article

A modeling-based evaluation of isothermal rebreathing for breath gas analyses of highly soluble volatile organic compounds

scientific article published on 10 January 2012

A scalar Riemann–Hilbert problem on the torus: applications to the KdV equation

scientific article published in 2022

Abstract wave equations and associated Dirac-type operators

Algebraic Curves and Their Theta Functions in a Nutshell

scholarly article

Algebro-Geometric Finite-Band Solutions of the Ablowitz-Ladik Hierarchy

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

Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials

Bibliography

scholarly article

Bound states of discrete Schrödinger operators with super-critical inverse square potentials

article by David Damanik & Gerald Teschl published 1 April 2007 in Proceedings of the American Mathematical Society

Breath gas analysis for estimating physiological processes using anesthetic monitoring as a prototypic example

scientific article published in January 2011

Breath isoprene: muscle dystrophy patients support the concept of a pool of isoprene in the periphery of the human body

scientific article published on 05 June 2012

Commutation Methods for Jacobi Operators

Commutation methods for Schrödinger operators with strongly singular potentials

article

Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials

Dispersion Estimates for Spherical Schrödinger Equations

article

Dispersion Estimates for the Discrete Laguerre Operator

article

Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited

article

Dispersion estimates for one-dimensional discrete Dirac equations

article

Dispersion estimates for one-dimensional discrete Schrödinger and wave equations

article

Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions

article

Effective Prüfer angles and relative oscillation criteria

scientific article (publication date: December 2008)

Errata and Addenda for Volume I

Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System

Hyperelliptic Curves of the Toda-Type

Introduction

Inverse Scattering Theory for Schrodinger Operators with Steplike Potentials

Inverse Scattering Transform for the Toda Hierarchy

article

Inverse eigenvalue problems for perturbed spherical Schrödinger operators

article

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

Inverse scattering transform for the Toda hierarchy with quasi-periodic background

scientific article published in 2007

Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Inverse spectral theory for Sturm-Liouville operators with distributional potentials

Inverse uniqueness results for one-dimensional weighted Dirac operators

Isoprene and acetone concentration profiles during exercise on an ergometer

scientific article

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

article

LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

article by HELGE KRÜGER & Gerald Teschl published February 2009 in Reviews in Mathematical Physics

Lagrange Interpolation

scientific article

Lieb–Robinson Bounds for the Toda Lattice

article

Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy

Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent

Long-time Asymptotics for the Camassa–Holm Equation

Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

article by Iryna Egorova et al published 28 May 2013 in Nonlinearity

Long-time asymptotics for the Toda lattice in the soliton region

Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions

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

scientific article (publication date: July 2012)

Measurement of endogenous acetone and isoprene in exhaled breath during sleep

scientific article

Modeling of breath methane concentration profiles during exercise on an ergometer

scientific article published on February 2016

Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis, part 2

Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis: a pilot study

scientific article published on 14 May 2015

On Fourier Transforms of Radial Functions and Distributions

On spectral deformations and singular Weyl functions for one-dimensional Dirac operators

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

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

On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum

article by Franz Luef & Gerald Teschl published March 2004 in Journal of Difference Equations and Applications

On the Toda and Kac–van Moerbeke hierarchies

On the approximation of isolated eigenvalues of ordinary differential operators

On the connection between the Hilger and Radon–Nikodym derivatives

scholarly article by Jonathan Eckhardt & Gerald Teschl published January 2012 in Journal of Mathematical Analysis and Applications

On the isospectral problem of the dispersionless Camassa–Holm equation

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

On the spatial asymptotics of solutions of the Toda lattice

article published in 2010

On the substitution rule for Lebesgue–Stieltjes integrals

article

On uniqueness properties of solutions of the Toda and Kac--van Moerbeke hierarchies

One-dimensional Schrödinger operators withδ′-interactions on Cantor-type sets

Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators

Perturbations of periodic Sturm–Liouville operators

scientific article published in June 2023

Physiological Modeling for Analysis of Exhaled Breath

article published in 2013

Physiological modeling of isoprene dynamics in exhaled breath

scientific article published on 29 September 2010

Potential of volatile organic compounds as markers of entrapped humans for use in urban search-and-rescue operations

article

Properties of the scattering matrix and dispersion estimates for Jacobi operators

article

Rarefaction waves for the Toda equation via nonlinear steepest descent

Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent

article

Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy

Reconstruction of the transmission coefficient for steplike finite-gap backgrounds

article

Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function

Relative oscillation theory and essential spectra of Sturm–Liouville operators

scientific article published in February 2023

Relative oscillation theory for Dirac operators

article

Relative oscillation theory for Sturm–Liouville operators extended

Scattering Theory for Jacobi Operators with Quasi-Periodic Background

article published in 2006

Scattering Theory with Finite-Gap Backgrounds: Transformation Operators and Characteristic Properties of Scattering Data

Scattering theory for Jacobi operators with a steplike quasi-periodic background

Singular Schrödinger operators as self-adjoint extensions of $N$-entire operators

Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators

article

Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators

Soliton Equations and their Algebro-Geometric Solutions

article

Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited

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

Spectral asymptotics for canonical systems

Spectral theory for perturbed Krein Laplacians in nonsmooth domains

Stability of periodic soliton equations under short range perturbations

Stability of the Periodic Toda Lattice in the Soliton Region

Sturm-Liouville operators with measure-valued coefficients

article published in 2013

Sturm–Liouville operators on time scales

article

Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials

article published in 2014

The Ablowitz–Ladik Hierarchy

The Kac–van Moerbeke Hierarchy

The Krein-von Neumann extension and its connection to an abstract buckling problem

The Toda Hierarchy

article

The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy

The role of mathematical modeling in VOC analysis using isoprene as a prototypic example

scientific article published on 07 June 2011

Unique continuation for discrete nonlinear wave equations

Uniqueness for inverse Sturm–Liouville problems with a finite number of transmission conditions

article

Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra

article

Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials

article published in 2011

Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials

article