# Gerald Teschl

#8,183

Most Influential Person Now

Austrian mathematician

## Gerald Teschl's AcademicInfluence.com Rankings

Gerald Teschlmathematics Degrees

Mathematics

#338

World Rank

#715

Historical Rank

Functional Analysis

#14

World Rank

#22

Historical Rank

Measure Theory

#1049

World Rank

#1351

Historical Rank

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Mathematics

## Gerald Teschl's Degrees

- PhD Mathematics University of Vienna

## Why Is Gerald Teschl Influential?

(Suggest an Edit or Addition)According to Wikipedia, Gerald Teschl is an Austrian mathematical physicist and professor of mathematics. He works in the area of mathematical physics; in particular direct and inverse spectral theory with application to completely integrable partial differential equations .

## Gerald Teschl's Published Works

### Published Works

- Jacobi Operators and Completely Integrable Nonlinear Lattices (1999) (722)
- Ordinary Differential Equations and Dynamical Systems (2012) (436)
- Mathematical Methods in Quantum Mechanics (2009) (280)
- Isoprene and acetone concentration profiles during exercise on an ergometer (2009) (247)
- Long-time Asymptotics for the Camassa-Holm Equation (2009) (180)
- Physiological modeling of isoprene dynamics in exhaled breath. (2010) (167)
- Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent (2008) (153)
- Measurement of endogenous acetone and isoprene in exhaled breath during sleep (2012) (124)
- A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone (2010) (118)
- Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies (1997) (111)
- Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials (2012) (105)
- Weyl–Titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials (2010) (90)
- On the double commutation method (1996) (88)
- Sturm-Liouville operators with measure-valued coefficients (2011) (85)
- Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators, Second Edition (2014) (84)
- Zeros of the Wronskian and renormalized oscillation theory (1996) (84)
- Breath isoprene: muscle dystrophy patients support the concept of a pool of isoprene in the periphery of the human body. (2012) (76)
- Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited (2008) (75)
- On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators☆ (2010) (73)
- A modeling-based evaluation of isothermal rebreathing for breath gas analyses of highly soluble volatile organic compounds (2011) (69)
- Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data (2012) (67)
- Uniqueness for inverse Sturm–Liouville problems with a finite number of transmission conditions☆ (2012) (64)
- Inverse eigenvalue problems for perturbed spherical Schrödinger operators (2010) (64)
- The role of mathematical modeling in VOC analysis using isoprene as a prototypic example (2011) (62)
- Spectral theory for perturbed Krein Laplacians in nonsmooth domains (2009) (61)
- Effective Prüfer angles and relative oscillation criteria (2007) (59)
- Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators (1996) (58)
- On Fourier Transforms of Radial Functions and Distributions (2011) (57)
- Commutation methods for Schrödinger operators with strongly singular potentials (2010) (55)
- Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function (2007) (54)
- On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations (2008) (50)
- Long-time asymptotics for the Toda lattice in the soliton region (2007) (49)
- Commutation Methods for Jacobi Operators (1996) (49)
- Spectral deformations of one-dimensional Schrödinger operators (1996) (46)
- Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent (2016) (45)
- On the Cauchy problem for the Kortewegde Vries equation with steplike finite-gap initial data II. Perturbations with finite moments (2011) (44)
- Supersymmetry and Schrodinger-type operators with distributional matrix-valued potentials (2012) (42)
- The KDV Hierarchy and Associated Trace Formulas (1996) (41)
- On isospectral sets of Jacobi operators (1996) (40)
- Relative oscillation theory for Sturm–Liouville operators extended☆ (2007) (40)
- On the Substitution Rule for Lebesgue-Stieltjes Integrals (2011) (40)
- On the isospectral problem of the dispersionless Camassa–Holm equation☆ (2012) (39)
- Almost Everything You Always Wanted to Know About the Toda Equation (2001) (39)
- Potential of volatile organic compounds as markers of entrapped humans for use in urban search-and-rescue operations (2015) (38)
- Scattering Theory for Jacobi Operators with Quasi-Periodic Background (2005) (37)
- Trace Formulas and Inverse Spectral Theory for Jacobi Operators (1998) (36)
- Dispersion estimates for one-dimensional discrete Schrödinger and wave equations (2014) (35)
- Inverse spectral theory for Sturm–Liouville operators with distributional potentials (2012) (34)
- Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials (2007) (33)
- Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering (2012) (32)
- Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra (2012) (30)
- ON THE APPROXIMATION OF ISOLATED EIGENVALUES OF ORDINARY DIFFERENTIAL OPERATORS (2006) (29)
- The Krein–von Neumann extension and its connection to an abstract buckling problem (2009) (29)
- 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 (2012) (28)
- Inverse scattering transform for the Toda hierarchy with quasi-periodic background (2005) (28)
- Dispersion estimates for one-dimensional Schrödinger and Klein–Gordon equations revisited (2014) (27)
- Inverse Scattering Transform for the Toda Hierarchy (1999) (27)
- Stability of periodic soliton equations under short range perturbations (2006) (26)
- Spectral asymptotics for canonical systems (2014) (26)
- Deforming the point spectra of one-dimensional Dirac operators (1998) (26)
- Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators (2013) (25)
- One-dimensional Schrödinger operators with δ′-interactions on Cantor-type sets (2014) (25)
- Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System (2002) (25)
- Relative Oscillation Theory for Jacobi Matrices (2008) (25)
- Dispersion Estimates for One-Dimensional Discrete Dirac Equations (2015) (24)
- Renormalized oscillation theory for Dirac operators (1998) (24)
- On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data (2009) (23)
- Abstract wave equations and associated Dirac-type operators (2010) (23)
- Dispersion Estimates for Spherical Schr\"odinger Equations: The Effect of Boundary Conditions (2016) (22)
- Scattering theory for Jacobi operators with a steplike quasi-periodic background (2006) (22)
- Soliton solutions of the Toda hierarchy on quasi‐periodic backgrounds revisited (2006) (22)
- Stability of the Periodic Toda Lattice in the Soliton Region (2008) (21)
- On the Toda and Kac–van Moerbeke hierarchies (1999) (20)
- Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy (2007) (19)
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds (2009) (19)
- Closed-form Continuous-Depth Models (2021) (18)
- Dispersion Estimates for Spherical Schrödinger Equations (2016) (18)
- Long-time asymptotics of the periodic Toda lattice under short-range perturbations (2007) (18)
- On classical solutions of the relativistic Vlasov-Klein-Gordon system. (2004) (18)
- Algebro‐geometric constraints on solitons with respect to quasi‐periodic backgrounds (2006) (18)
- Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials (2014) (17)
- Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis: a pilot study (2014) (17)
- Sturm–Liouville operators on time scales (2011) (16)
- Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator (2016) (16)
- Physiological Modeling for Analysis of Exhaled Breath (2013) (15)
- Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions (2010) (15)
- On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees (2007) (14)
- The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data (2006) (14)
- Inverse scattering theory for Schrödinger operators with steplike potentials (2015) (14)
- Relative oscillation theory for Dirac operators (2010) (14)
- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background (2005) (14)
- Atomic Schrödinger operators (2009) (13)
- On the spatial asymptotics of solutions of the Toda lattice (2009) (13)
- Breath gas analysis for estimating physiological processes using anesthetic monitoring as a prototypic example (2011) (13)
- Long-Time Asymptotics for the Toda Shock Problem: Non-Overlapping Spectra (2014) (13)
- On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum (2001) (13)
- Scattering Theory with Finite-Gap Backgrounds: Transformation Operators and Characteristic Properties of Scattering Data (2012) (12)
- On the Form of Dispersive Shock Waves of the Korteweg-de Vries Equation (2015) (12)
- Reconstructing Jacobi Matrices from Three Spectra (2002) (12)
- One-particle Schrödinger operators (2009) (12)
- The Camassa--Holm Equation and The String Density Problem (2017) (11)
- Bound states of discrete Schrödinger operators with super-critical inverse square potentials (2005) (11)
- The Ablowitz-Ladik Hierarchy Revisited (2007) (11)
- A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation (2009) (11)
- Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Coefficients (2012) (11)
- Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent (2017) (11)
- Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials (2015) (11)
- Modeling of breath methane concentration profiles during exercise on an ergometer (2015) (10)
- Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis, part 2 (2017) (9)
- Spectral deformations of Jacobi operators. (1997) (9)
- Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy (2015) (9)
- Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday (2013) (9)
- Algebro-Geometric Finite-Band Solutions of the Ablowitz–Ladik Hierarchy (2006) (8)
- Unique continuation for discrete nonlinear wave equations (2009) (8)
- A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations (2013) (8)
- On the connection between the Hilger and Radon–Nikodym derivatives (2011) (8)
- Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds (2009) (8)
- Inverse uniqueness results for one-dimensional weighted Dirac operators (2013) (7)
- Dispersion Estimates for One-Dimensional Schr\"odinger Equations with Singular Potentials (2015) (7)
- Soliton Equations and their Algebro-Geometric Solutions: Lagrange Interpolation (2008) (7)
- Differential equations in the complex domain (2012) (7)
- On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy (2007) (7)
- On Spectral Deformations and Singular Weyl Functions for One-Dimensional Dirac Operators (2014) (7)
- On vector and matrix Riemann-Hilbert problems for KdV shock waves (2019) (7)
- Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators (2012) (6)
- On the Initial Value Problem of the Toda and Kac-van Moerbeke Hierarchies (2009) (6)
- Stability of the Periodic Toda Lattice: Higher Order Asymptotics (2008) (6)
- The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy (2007) (6)
- Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra (2011) (6)
- Lieb–Robinson Bounds for the Toda Lattice (2012) (5)
- The Toda Hierarchy (2008) (5)
- Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates (2015) (5)
- Singular Schrödinger operators as self-adjoint extensions of N -entire operators (2013) (5)
- A dynamic uncertainty principle for Jacobi operators (2016) (5)
- Trace Formulas in Connection with Scattering Theory for Quasi-periodic Background (2005) (4)
- Dispersion Estimates for the Discrete Laguerre Operator (2015) (4)
- Closed-form continuous-time neural networks (2021) (4)
- Soliton asymptotics for the KdV shock problem via classical inverse scattering (2022) (4)
- Inverse Scattering Theory for One-Dimensional Schrödinger Operators with Steplike Periodic Potentials (2007) (3)
- ODINGER OPERATORS WITH STRONGLY SINGULAR POTENTIALS (2010) (3)
- On the Number of Eigenvalues of Jacobi Operators (2001) (3)
- Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation (2020) (2)
- Spectral Theory as Influenced by Fritz Gesztesy (2012) (2)
- Properties of the scattering matrix and dispersion estimates for Jacobi operators (2015) (2)
- Soliton asymptotics for KdV shock waves via classical inverse scattering (2021) (2)
- Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum (2016) (2)
- Volatile organic compounds in exhaled breath: real-time measurements, modeling, and bio-monitoring applications (2012) (2)
- Random Jacobi operators (1999) (1)
- A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions (2022) (1)
- Algebro-Geometric Solutions of the Ablowitz-Ladik Hierarchy (2006) (1)
- Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials (2014) (1)
- SPECTRAL THEORY FOR JACOBI OPERATORS (1995) (1)
- Physiological modeling of exhaled compounds (2020) (1)
- VOLATILE ORGANIC COMPOUNDS IN EXHALED BREATH : REAL-TIME MEASUREMENTS , MODELING , AND BIOMONITORING APPLICATIONS (2012) (1)
- Determination of physiological parameters by breath gas analysis (2014) (1)
- On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies (2016) (1)
- Discrete dynamical systems (2012) (1)
- Chaos in higher dimensional systems (2012) (0)
- LONG-TIME ASYMPTOTICS FOR TODA SHOCK WAVES IN THE MODULATION REGION (2021) (0)
- Supersymmetry and Schr (2012) (0)
- Spectral deformations – Commutation methods (1999) (0)
- A scalar Riemann–Hilbert problem on the torus: applications to the KdV equation (2021) (0)
- Errata and Addenda for Volume I (2008) (0)
- Lieb – Robinson Bounds for the Toda Lattice Umar Islambekov (2012) (0)
- Higher dimensional dynamical systems (2012) (0)
- Self-adjointness and spectrum (2009) (0)
- A first look at Banach and Hilbert spaces (2009) (0)
- Lieb–Robinson Bounds for the Toda Lattice (2012) (0)
- Quasi-periodic Jacobi operators and Riemann theta functions (1999) (0)
- Asymptotics of KdV shock waves via the Riemann-Hilbert approach (2019) (0)
- Perturbations of periodic Sturm–Liouville operators (2021) (0)
- Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials (2015) (0)
- Abstract wave equations and associated Dirac-type operators (2011) (0)
- Soliton Equations and Their Algebro-Geometric Solutions: Introduction (2003) (0)
- Initial value problems (2012) (0)
- The free Schrödinger operator (2009) (0)
- The initial value problem for the Toda system (1999) (0)
- OPERATORS WITH STRONGLY SINGULAR POTENTIALS (2010) (0)
- Qualitative theory of spectra (1999) (0)
- Foundations of spectral theory for Jacobi operators (1999) (0)
- Publisher Correction: Closed-form continuous-time neural networks (2022) (0)
- Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering (2013) (0)
- Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators (2013) (0)
- On Fourier Transforms of Radial Functions and Distributions (2012) (0)
- SPECTRAL DEFORMATIONS OF JACOBI OPERATORSGERALD TESCHLAbstract (0)
- Planar dynamical systems (2012) (0)
- Boundary value problems (2012) (0)
- Discrete dynamical systems in one dimension (2012) (0)
- Toda shock waves: justification of asymptotics (2020) (0)
- Within the conference there will be plenary talks and minisymposia on special topics. Every participant can also give a contributed talk or present a poster. (2013) (0)
- Dispersion Estimates for the Discrete Laguerre Operator (2016) (0)
- Spectral Theory as Inuenced (2013) (0)
- On uniqueness properties of solutions of the Toda lattice (2016) (0)
- ON CLASSICAL SOLUTIONS OF THE RELATIVISTICVLASOV-KLEIN-GORDON SYSTEMMICHAEL (2009) (0)
- The Ablowitz–Ladik Hierarchy (2008) (0)
- Spectral Deformations of One-dimensional Schrodinger Operators W Introduction W Preliminaries on the Dirichlet Deformation Method Proof since and the Associated Dirichlet Deformation (1996) (0)
- Scattering Theory with Finite-Gap Backgrounds: Transformation Operators and Characteristic Properties of Scattering Data (2012) (0)
- Reconstruction of the transmission coefficient for steplike finite-gap backgrounds (2008) (0)
- Sturm-Liouville operators with measure-valued coefficients (2013) (0)
- Physiological Modeling for Analysis of Exhaled Breath 1 (2013) (0)
- Dispersion Estimates for Spherical Schrödinger Equations (2016) (0)
- Jacobi operators with periodic coefficients (1999) (0)
- Soliton Equations and their Algebro-Geometric Solutions: Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations (2008) (0)
- Relative oscillation theory and essential spectra of Sturm–Liouville operators (2022) (0)
- Dedicated to the memory of Henrik H. Martens (1927-1993) (1997) (0)
- Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions (2012) (0)
- Soliton Equations and their Algebro-Geometric Solutions: The Kac–van Moerbeke Hierarchy (2008) (0)
- Algebraic Curves and Their Theta Functions in a Nutshell (2003) (0)
- The spectral theorem (2009) (0)
- Soliton asymptotics for the KdV shock problem of low regularity (2022) (0)
- Almost everything about Lebesgue integration (2009) (0)
- One dimensional Schrödinger operators (2009) (0)
- The Toda system (1999) (0)
- Applications of the spectral theorem (2009) (0)
- The Kac-van Moerbeke system (1999) (0)
- Local behavior near fixed points (2012) (0)
- ZEROS OF THE WRONSKIAN ANDRENORMALIZED OSCILLATION (1995) (0)
- Asymptotic behavior of the Weyl m-function for one-dimensional Schrodinger operators with measure-valued potentials (2014) (0)
- Reflectionless Jacobi operators (1999) (0)
- Perturbation theory for self-adjoint operators (2009) (0)

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## What Schools Are Affiliated With Gerald Teschl?

Gerald Teschl is affiliated with the following schools: