Fritz Gesztesy | Academic Influence

Fritz Gesztesy's AcademicInfluence.com Rankings

Fritz Gesztesy

Mathematics

#1063

World Rank

#1817

Historical Rank

#464

USA Rank

Mathematical Physics

#15

World Rank

#20

Historical Rank

#7

USA Rank

Measure Theory

#1225

World Rank

#1555

Historical Rank

#445

USA Rank

mathematics Degrees

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Mathematics

Fritz Gesztesy's Degrees

PhD Mathematical Physics University of Vienna

Why Is Fritz Gesztesy Influential?

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According to Wikipedia, Friedrich "Fritz" Gesztesy is a well-known Austrian-American mathematical physicist and Professor of Mathematics at Baylor University, known for his important contributions in spectral theory, functional analysis, nonrelativistic quantum mechanics , ordinary and partial differential operators, and completely integrable systems . He has authored more than 300 publications on mathematics and physics.

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Fritz Gesztesy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Soliton Equations and their Algebro-Geometric Solutions (2003) (400)
Solvable Models in Quantum Mechanics: Second Edition (2004) (268)
On Matrix–Valued Herglotz Functions (1997) (257)
Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum (1999) (243)
Weakly coupled bound states in quantum waveguides (1997) (194)
A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure (1998) (136)
Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators (2001) (129)
On spectral theory for Schrödinger operators with strongly singular potentials (2005) (127)
m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices (1997) (123)
One-dimensional Schrödinger operators with interactions singular on a discrete set. (1985) (117)
Picard potentials and Hill's equation on a torus (1996) (114)
The xi function (1996) (111)
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies (1997) (111)
A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009) (109)
Inverse spectral analysis with partial information on the potential. III. Updating boundary conditions (1997) (109)
Exactly solvable models of sphere interactions in quantum mechanics (1987) (108)
An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy (1997) (107)
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials (2012) (105)
On Local Borg–Marchenko Uniqueness Results (1999) (102)
Deficiency indices and singular boundary conditions in quantum mechanics (1985) (99)
Rank One Perturbations at Infinite Coupling (1995) (94)
Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\ (2008) (93)
Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators (1996) (92)
Spaces of Lipschitz and Hölder functions and their applications (2016) (91)
Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach (1998) (90)
ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY (1998) (89)
On the double commutation method (1996) (88)
A complete spectral characterization of the double commutation method (1993) (84)
Zeros of the Wronskian and renormalized oscillation theory (1996) (84)
Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy (2001) (83)
Uniqueness Results for Matrix-Valued Schrodinger, Jacobi, and Dirac-Type Operators (2000) (81)
Some Applications of Operator-Valued Herglotz Functions (1998) (79)
New analytically solvable models of relativistic point interactions (1987) (79)
Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation (2005) (78)
Commutation methods applied to the mKdV-equation (1991) (77)
Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics (1987) (76)
Treibich-Verdier potentials and the stationary (m)KDV hierarchy (1995) (75)
On the determination of a potential from three spectra (1999) (73)
A New Approach to the Boussinesq Hierarchy (1999) (70)
A new class of solvable models in quantum mechanics describing point interactions on the line (1987) (69)
Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities (2008) (69)
Nonselfadjoint Operators , Infinite Determinants , and Some Applications (2005) (69)
A complete treatment of low-energy scattering in one dimension (1985) (67)
An Addendum to Krein's Formula (1997) (67)
One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics (1997) (66)
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday (2007) (66)
Perturbative Oscillation Criteria and Hardy‐Type Ineqalities (1998) (62)
Spectral theory for perturbed Krein Laplacians in nonsmooth domains (2009) (61)
A criterion for Hill operators to be spectral operators of scalar type (2006) (61)
Weyl–Titchmarsh M‐Function Asymptotics for Matrix‐valued Schrödinger Operators (1999) (60)
Weyl-Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle (2005) (59)
Threshold scattering in two dimensions (1988) (56)
The low energy expansion in nonrelativistic scattering theory (1982) (56)
Variations on a theme of Jost and Pais (2007) (55)
Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schr\ (2008) (55)
A Spectral Mapping Theorem and Invariant Manifolds for Nonlinear Schr (1999) (54)
Borg-Type Theorems for Matrix-Valued Schrödinger Operators (1999) (52)
A Schauder and Riesz Basis Criterion for Non-Self-Adjoint Schr\ (2011) (52)
A short proof of Zheludev's theorem (1993) (52)
On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems (2003) (51)
Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators (2004) (51)
Non-self-adjoint operators, infinite determinants, and some applications (2005) (51)
The Ξ operator and its relation to Krein's spectral shift function (1999) (50)
Limits of soliton solutions (1992) (50)
Commutation Methods for Jacobi Operators (1996) (49)
Trapping and cascading of eigenvalues in the large coupling limit (1988) (47)
HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS (1995) (46)
Spectral deformations of one-dimensional Schrödinger operators (1996) (46)
The H∞-Functional Calculus and Square Function Estimates (2015) (46)
On the Toda and Kac-van Moerbeke systems (1993) (46)
Trace formulae and inverse spectral theory for Schr (1993) (45)
On the one-dimensional Coulomb Hamiltonian (1980) (44)
Derivatives of (Modified) Fredholm Determinants and Stability of Standing and Traveling Waves (2008) (44)
The Spectral Shift Operator (1999) (43)
Topological invariance of the Witten index (1988) (43)
Supersymmetry and Schrodinger-type operators with distributional matrix-valued potentials (2012) (42)
Lamé potentials and the stationary (m)KdV hierarchy (1995) (41)
Scattering observables in arbitrary dimension n> or =2 (1984) (41)
The index formula and the spectral shift function for relatively trace class perturbations (2010) (41)
The KDV Hierarchy and Associated Trace Formulas (1996) (41)
On a theorem of Deift and Hempel (1988) (41)
On the Koplienko Spectral Shift Function. I. Basics (2007) (40)
On isospectral sets of Jacobi operators (1996) (40)
On self-adjoint and J-self-adjoint Dirac-type operators: a case study (2005) (40)
ON TRACE FORMULAS FOR SCHRODINGER-TYPE OPERATORS (1997) (39)
Erratum: (Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited (2004) (39)
Spectral Properties of a Class of Reflectionless Schr (2006) (39)
Point interactions in two diemsions: Basic properties, approximations and applications to solid state physics. (1987) (38)
Scattering theory for one-dimensional systems with ∝ dx V(x) = 0 (1987) (38)
SPECTRAL ESTIMATION AND INVERSE INITIAL BOUNDARY VALUE PROBLEMS (2010) (38)
(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited (2003) (37)
A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy (1998) (37)
A Trace Formula for Multidimensional Schrödinger Operators (1996) (36)
A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants (1987) (36)
(m)KdV solitons on the background of quasi-periodic finite-gap solutions (1996) (35)
Low-energy parameters in nonrelativistic scattering theory (1983) (35)
Floquet theory revisited (1995) (34)
Absolute summability of the trace relation for certain Schrödinger operators (1995) (34)
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles (1984) (34)
Inverse spectral theory for Sturm–Liouville operators with distributional potentials (2012) (34)
Efficient Method for Calculating Relativistic Corrections for Spin-½ Particles (1983) (33)
Constructing Solutions of the mKdV-Equation (1990) (33)
Inverse spectral theory as influenced by Barry Simon (2010) (32)
Evans Functions, Jost Functions, and Fredholm Determinants (2005) (32)
Scattering theory for one-dimensional systems with nontrivial spatial asymptotics (1986) (32)
On Picard potentials (1995) (32)
On critical and subcritical Sturm-Liouville operators (1991) (31)
A Borg‐Type Theorem Associated with Orthogonal Polynomials on the Unit Circle (2005) (31)
ERRATA: TRACE FORMULAS AND CONSERVATION LAWS FOR NONLINEAR EVOLUTION EQUATIONS (1994) (30)
Spectral concentration in the nonrelativistic limit (1982) (30)
The Krein–von Neumann extension and its connection to an abstract buckling problem (2009) (29)
Comments on a recent note on the Schrodinger equation with a delta '-interaction (1993) (29)
On energy gaps in a new type of analytically solvable model in quantum mechanics (1988) (28)
Critical and Subcritical Jacobi Operators Defined as Friedrichs Extensions (1993) (28)
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)
Symmetrized perturbation determinants and applications to boundary data maps and Krein‐type resolvent formulas (2010) (28)
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications (2008) (27)
Soliton Equations and Their Algebro-Geometric Solutions: Bibliography (2003) (27)
Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions (2012) (27)
Born expansions for Coulomb-type interactions (1981) (26)
Spectral analysis of Darboux transformations for the focusing NLS hierarchy (2002) (26)
A note on quasi-periodic states (1981) (26)
Spectral deformations and soliton equations (1993) (26)
Rational KP and mKP-solutions in Wronskian form (1991) (25)
On the connection between Schrdinger and Dirichlet forms (1985) (25)
Boundary Data Maps and Krein's Resolvent Formula for Sturm-Liouville Operators on a Finite Interval (2012) (25)
The Damped String Problem Revisited (2010) (24)
WEYL-TITCHMARSH THEORY AND BORG-MARCHENKO-TYPE UNIQUENESS RESULTS FOR CMV OPERATORS WITH MATRIX-VALUED (2010) (24)
Local Spectral Properties of Reflectionless Jacobi, CMV, and Schr\ (2008) (24)
Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators (1994) (23)
Abstract wave equations and associated Dirac-type operators (2010) (23)
On new trace formulae for Schrödinger operators (1995) (23)
Relativistic corrections to bound-state energies for two-fermion systems (1984) (23)
Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators Revisited (2008) (23)
On the Witten index in terms of spectral shift functions (2014) (22)
Low-energy parametrization of scattering observables in n-dimensional quantum systems (1984) (22)
Some Applications of the Spectral Shift Operator (1999) (21)
Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : Continued Fractions, From Analytic Number Theory to Constructive Approximation, May 20-23, 1998, University of Missouri-Columbia (1999) (21)
An exactly solvable periodic Schrodinger operator (1985) (21)
On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KDV potentials (2003) (21)
An explicit characterization of Calogero–Moser systems (2003) (21)
Time delay for long‐range interactions (1983) (20)
Explicit Construction of Solutions of the Modified Kadomtsev-Petviashvili Equation (1991) (20)
Electrons in logarithmic potentials. I. Solution of the Schrodinger equation (1978) (20)
Factorizations and Hardy-Rellich-Type Inequalities (2017) (20)
On Povzner–Wienholtz-type self-adjointness results for matrix-valued Sturm–Liouville operators (2002) (20)
On Positive Solutions of Critical Schrödinger Operators in Two Dimensions (1995) (20)
On self-adjoint boundary conditions for singular Sturm–Liouville operators bounded from below (2019) (20)
On Spectral Theory for Schr\"odinger Operators with Operator-Valued Potentials (2013) (19)
Charged particles with short range interactions (1983) (19)
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy (2007) (19)
Two-body scattering for schrödinger operators involving zero-range interactions (1984) (18)
New Classes of Toda Soliton Solutions (1997) (18)
Renormalized oscillation theory for Hamiltonian systems (2016) (18)
Darboux-type transformations and hyperelliptic curves (1999) (18)
Continuity of wave and scattering operators with respect to interactions (1983) (18)
On the high-energy behaviour of scattering phase shifts for Coulomb-like potentials (1980) (17)
Self-Adjoint Extensions of the Laplacian and Krein-Type Resolvent Formulas in Nonsmooth Domains (2009) (17)
Scattering theory for long‐range systems at threshold (1985) (17)
First-order relativistic corrections and spectral concentration (1985) (17)
Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials (2014) (17)
A generalization of the virial theorem for strongly singular potentials (1980) (16)
An Abstract Approach to Weak Convergence of Spectral Shift Functions and Applications to Multi-Dimensional Schr\ (2011) (16)
Some Remarks on the Spectral Problem Underlying the Camassa-Holm Hierarchy (2013) (16)
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants (2010) (16)
On non-degenerate ground states for Schrödinger operators (1984) (16)
On Birman's sequence of Hardy-Rellich-type inequalities (2017) (15)
Monotonicity and Concavity Properties of The Spectral Shift Function (1999) (15)
The Cole-Hopf and Miura transformations revisited (1998) (15)
New types of soliton solutions (1992) (15)
On the nature of the laplace–beltrami operator on lipschitz manifolds (2011) (14)
Perturbation theory for resonances in terms of fredholm determinants (1984) (14)
Multi-dimensional versions of a determinant formula due to Jost and Pais (2007) (14)
Borg-Marchenko-type Uniqueness Results for CMV Operators (2008) (14)
Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis (2018) (14)
Isospectral deformations for Strum-Liouville and Dirac-type operators and associated nonlinear evolution equations (1992) (14)
Model dependence of Coulomb-corrected scattering lengths (1984) (14)
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data (2006) (14)
A characterization of elliptic finite-gap potentials (1995) (13)
Effective computation of traces, determinants, and ζ-functions for Sturm–Liouville operators (2017) (13)
A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions (1997) (13)
A solution to the problem of L P -maximal regularity (2015) (13)
J -self-adjointness of a class of Dirac-type operators (2004) (13)
Principal Solutions Revisited (2014) (13)
On a theorem of Picard (1998) (13)
Radial and logarithmic refinements of Hardy’s inequality (2019) (12)
When is a non-self-adjoint Hill operator a spectral operator of scalar type? (2005) (12)
Weak convergence of spectral shift functions for one‐dimensional Schrödinger operators (2011) (12)
On the Global Limiting Absorption Principle for Massless Dirac Operators (2017) (12)
The H∞-calculus and sums of closed operators (2015) (12)
Dubrovin equations and integrable systems on hyperelliptic curves (1998) (12)
Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials (2015) (11)
Initial Value Problems and Weyl--Titchmarsh Theory for Schr\"odinger Operators with Operator-Valued Potentials (2011) (11)
AN INVERSE PROBLEM FOR POINT INHOMOGENEITIES (1999) (11)
On the (modified) Kadomtsev-Petviashvili hierarchy (1995) (11)
Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Coefficients (2012) (11)
The Ablowitz-Ladik Hierarchy Revisited (2007) (11)
Krein's spectral shift function and fredholm determinants as efficient methods to study supersymmetric quantum mechanics (1987) (11)
Boundary Data Maps for Schrödinger Operators on a Compact Interval (2010) (11)
On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions (2014) (10)
On index theory for non‐Fredholm operators: A (1 + 1)‐dimensional example (2015) (10)
On the spectrum of Jacobi operators with quasi-periodic algebro-geometric coefficients (2005) (10)
Trace Formulas for a Class of non-Fredholm Operators: A Review (2016) (10)
(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited (2003) (10)
On the selfadjointness of Dirac operators with anomalous magnetic moment (1985) (10)
Dirichlet-to-Neumann Maps, Abstract Weyl-Titchmarsh $M$-Functions, and a Generalized Index of Unbounded Meromorphic Operator-Valued Functions (2016) (10)
The inverse approach to Dirac-type systems based on the A-function concept (2019) (10)
From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden, II (2016) (9)
Isospectral deformations for Sturm-Liouville and Dirac-type operators and associated nonlinear evolution equations (1992) (9)
On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space (2010) (9)
On (Modified) Boussinesq-Type Systems and Factorizations of Associated Linear Differential Expressions (1993) (9)
Holomorphy of the scattering matrix with respect toc−2 for Dirac operators and an explicit treatment of relativistic corrections (1992) (9)
ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMS (1994) (9)
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy (2015) (9)
On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations (2012) (9)
On the Index of a Non-Fredholm Model Operator (2015) (9)
A Class of Matrix-valued Schrödinger Operators with Prescribed Finite-band Spectra (2001) (9)
On relativistic energy band corrections in the presence of periodic potentials (1988) (8)
A Jost–Pais-Type Reduction of Fredholm Determinants and Some Applications (2014) (8)
THE CLASSICAL MASSIVE THIRRING SYSTEM REVISITED (2000) (8)
Some applications of commutation methods (1989) (8)
Property ( M ), M -ideals, and almost isometric structure of Banach spaces (2016) (8)
The Thresholding Greedy Algorithm, Greedy Bases, and Duality (2016) (8)
Toward a characterization of elliptic solutions of hierarchies of soliton equations (1999) (8)
The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions (1986) (8)
The Krein–von Neumann extension revisited (2021) (8)
Soliton Equations and Their Algebro-Geometric Solutions: The Camassa—Holm Hierarchy (2003) (8)
Algebro-Geometric Finite-Band Solutions of the Ablowitz–Ladik Hierarchy (2006) (8)
The Krein–von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains (2015) (8)
Spectral shift functions and Dirichlet-to-Neumann maps (2016) (7)
On (conditional) positive semidefiniteness in a matrix-valued context (2016) (7)
A CHARACTERIZATION OF ALL ELLIPTIC SOLUTIONS OF THE AKNS HIERARCHY (1997) (7)
Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators (2003) (7)
On the Abel summability of partial wave amplitudes for Coulomb‐type interactions (1981) (7)
SOME OPERATOR BOUNDS EMPLOYING COMPLEX INTERPOLATION REVISITED (2014) (7)
Soliton Equations and their Algebro-Geometric Solutions: Lagrange Interpolation (2008) (7)
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions (2016) (7)
₂(ℝ), exponential Herglotz representations, and spectral averaging (2004) (7)
The Endomorphisms of Lp (0 ≤ p ≥ 1) (2015) (6)
Symmetric norms and spaces of operators (2015) (6)
On a theorem of Halphen and its application to integrable systems (2000) (6)
On the structure of Coulomb‐type scattering amplitudes (1982) (6)
Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains (2014) (6)
Donoghue-type m-functions for Schrödinger operators with operator-valued potentials (2015) (6)
The generalized Birman-Schwinger principle (2020) (6)
On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra (2018) (6)
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy (2007) (6)
Bessel-Type Operators and a Refinement of Hardy’s Inequality (2021) (6)
On the index of meromorphic operator-valued functions and some applications (2015) (5)
On a class of Model Hilbert Spaces (2011) (5)
The classical Boussinesq hierarchy revisted (1998) (5)
The Toda Hierarchy (2008) (5)
The ground state energy of Sdhrödinger operators (1992) (5)
On absence of threshold resonances for Schrödinger and Dirac operators (2021) (5)
Electrons in logarithmic potentials. II. Solution of the Dirac equation (1978) (5)
Invariance of the essential spectra for perturbations with unbounded hard cores (1987) (4)
Double operator integral methods applied to continuity of spectral shift functions (2015) (4)
The Callias Index Formula Revisited (2015) (4)
The uniform structure of Banach spaces (2016) (4)
Scattering theory for time-dependent Hamiltonians asymptotically constant in time (1985) (4)
A Survey of Some Norm Inequalities (2021) (4)
Charged particles with a short‐range force: Perturbation theory with respect to the range and to additional effects (1986) (4)
A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements (2020) (4)
New results for scattering on the line (1983) (4)
Scattering theory for general, non-local interactions: Threshold behavior and sum rules (1986) (4)
Quantum mechanical low energy scattering in terms of diffusion processes (1985) (4)
(1 + 1)-dimensional continuous models (2003) (4)
Integrable systems in the infinite genus limit (1999) (4)
Remarks on and -Maximal Regularity for Power-Bounded Operators (2015) (4)
Minimal Rank Decoupling of Full-Lattice CMV Operators with Scalar- and Matrix-Valued Verblunsky Coefficients (2010) (4)
On stationary two-body scattering theory in two dimensions (1987) (3)
Coupling of symmetric operators and the third Green identity (2016) (3)
An efficient method for the summation of partial wave amplitudes for long-range potentials (1980) (3)
The Three Space Problem for Locally Bounded F-Spaces (2016) (3)
Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt (2002) (3)
On square root domains for non-self-adjoint Sturm-Liouville operators (2013) (3)
Uncertainty relations and quadratic forms (1978) (3)
The One-Center δ’-Interaction in One Dimension (1988) (3)
On averaged angular time delay for two-body scattering (1983) (3)
A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets (2014) (3)
Sharp Boundary Trace Theory and Schr\"{o}dinger Operators on Bounded Lipschitz Domains (2022) (3)
On a theorem of Z. Sebestyén and Zs. Tarcsay (2019) (3)
The spectral shift function and the Witten index (2015) (3)
On three-body scattering near thresholds (1987) (2)
The behaviour of legendre and Ultraspherical Polynomials in Lp-Spaces (2015) (2)
A Local Sine-Gordon Hierarchy and its Algebro-Geometric Solutions (1997) (2)
Some applications of almost analytic extensions to operator bounds in trace ideals (2015) (2)
The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators (2021) (2)
Diffraction of non-relativistic electron waves by a cylindrical capacitor (1979) (2)
Polynomial Approximation on Convex Subsets of R n (2016) (2)
Some Remarks on the Operator T^*T (2018) (2)
The product formula for regularized Fredholm determinants (2020) (2)
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem (2004) (2)
On domain properties of Bessel-type operators (2021) (2)
A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions (2014) (2)
On systems of periodic differential equations (1979) (2)
Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements (2022) (1)
On a problem in eigenvalue perturbation theory (2014) (1)
On Gel$'$fand-Dickey and Drinfel$'$d-Sokolov systems (1994) (1)
FINITE CAPACITIES IN SPECTRAL THEORY (1995) (1)
Algebro-Geometric Solutions of the Ablowitz-Ladik Hierarchy (2006) (1)
SPECTRAL THEORY FOR JACOBI OPERATORS (1995) (1)
The Erwin Schrr Odinger International Institute for Mathematical Physics on Trace Formulas for Schrr Odinger{type Operators on Trace Formulas for Schr Odinger-type Operators (1995) (1)
Soliton Equations and Their Algebro-Geometric Solutions: Elliptic Functions (2003) (1)
A spectral shift function for Schröodinger operators with singular interactions (2017) (1)
Donoghue $m$-functions for singular Sturm--Liouville operators (2021) (1)
Book Review: Boundary value problems, Weyl functions, and differential operators (2020) (1)
On The Universal Low Energy Limit in Nonrelativistic Scattering Theory (1981) (1)
On a question of Pisier (2016) (1)
LOCAL CONSERVATION LAWS AND THE HAMILTONIAN FORMALISM FOR THE TODA HIERARCHY REVISITED (2006) (1)
Perturbation and Interpolation Theorems for the H∞-Calculus with Applications to Differential Operators (2015) (1)
WEAKLY COUPLED BOUND STATESIN QUANTUM (1995) (1)
On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants (2010) (1)
and Hill's equation on a torus (1996) (1)
Interpolation of Subspaces and Applications to Exponential Bases (2015) (1)
m-FUNCTIONS A ND I NVERSE S PECTRAL A NALYSIS FOR F INITE A ND S EMI-INFINITE J ACOBI M ATRICES Ry (1997) (1)
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators (2021) (1)
(1 + 1)-dimensional discrete models (2008) (1)
Quantum field theory, statistical mechanics, and nonrelativistic quantum systems : a conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday, March 27-31, 2006, California Institute of Technology, Pasadena, California (2007) (1)
Picard and finite-gap potentials (1995) (1)
On the Global Limiting Absorption Principle for Massless Dirac Operators (2018) (1)
Point interaction Hamiltonians for crystals with random defects (1989) (1)
Trace Formulas Applied to the Riemann ζ-Function (2019) (1)
On weighted Hardy-type inequalities (2019) (1)
Nigel J. Kalton Selecta (2016) (1)
Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions (2016) (1)
The One-Center Point Interaction in Three Dimensions (1988) (1)
A remark on the H∞-calculus (2015) (1)
Computing Traces, Determinants, and $$\zeta $$-Functions for Sturm–Liouville Operators: A Survey (2019) (1)
Spectral ζ-functions and ζ-regularized functional determinants for regular Sturm–Liouville operators (2021) (1)
Uniformly Exhaustive Submeasures and Nearly Additive set Functions (2015) (1)
Donoghue-type m-functions for Schrödinger operators with operator-valued potentials (2019) (0)
A Note on Pairs of Projections (2015) (0)
Trace Ideal Properties of a Class of Integral Operators (2020) (0)
Operators with an absolute functional calculus (2015) (0)
An Overview of Nigel Kalton’s Work on Interpolation and Related Topics (2016) (0)
Eigenvectors from eigenvalues: the case of one-dimensional Schrödinger operators (2020) (0)
The Ablowitz–Ladik Hierarchy (2008) (0)
On the Witten index in terms of spectral shift functions (2017) (0)
Twisted Hilbert Spaces and Unconditional Structure (2016) (0)
On Positivity Preserving, Translation Invariant Operators in $$ \mathit L^p (\mathbb R^n)^m $$ (2020) (0)
Hyperelliptic Curves of the AKNS-Type (2003) (0)
Book reviews/new books (1987) (0)
Talenti’s comparison theorem revisited (2018) (0)
Dedicated to the memory of Henrik H. Martens (1927-1993) (1997) (0)
Soliton Equations and their Algebro-Geometric Solutions: Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations (2008) (0)
POTENTIALS AND THE STATIONARY ( M ) KDV HIERARCHY (2007) (0)
Gap-interpolation theorems for entire functions (2015) (0)
Soliton Equations and their Algebro-Geometric Solutions: The Kac–van Moerbeke Hierarchy (2008) (0)
2. Infinitely many -interactions in one dimension (2004) (0)
On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions (2014) (0)
A Unified Theory of Commutator Estimates for a Class of Interpolation Methods (2016) (0)
Symmetric Functions, Trace Formulas, and Dubrovin-Type Equations (2003) (0)
The Proof of Theorem 10.2: The Smooth Case (2016) (0)
Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators (2022) (0)
Interpolation of Compact Operators by the Methods of Calderón and Gustavsson-Peetre (2016) (0)
On Schatten–von Neumann Classes and Trace Class Estimates (2016) (0)
Spectral Theory as Inuenced (2013) (0)
Trace formulas applied to the Riemann $\zeta$-function (2018) (0)
M-Ideals of Compact Operators (2016) (0)
Soliton Equations and Their Algebro-Geometric Solutions: The AKNS Hierarchy (2003) (0)
Curves with Zero Derivative in F-Spaces (2015) (0)
Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions (2016) (0)
On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space (2011) (0)
Functional Analytic Preliminaries (2016) (0)
Editorial: Math. Nachr. 1/2010 (2010) (0)
Perturbation Theory for the Helmholtz Equation (2016) (0)
On critical dipoles in dimensions $n\geq 3$ (2021) (0)
Soliton Equations and Their Algebro-Geometric Solutions: The Classical Massive Thirring System (2003) (0)
Sequences of random variables in Lp for p < 1 (2016) (0)
Derivation of the Trace Formula: Diagonal Estimates (2016) (0)
On essential spectra of hard-core type Schrodinger operators (1985) (0)
On Perturbative Hardy-Type Inequalities (2023) (0)
$\mathbf {SL_2(\bbR)}$, Exponential Herglotz Representations, and Spectral Averaging (2002) (0)
On the existence of a lmost greedy bases in Banach spaces (2016) (0)
Infinitely Many Point Interactions in Three Dimensions (1988) (0)
Solution of a Problem of Peller Concerning Similarity (2015) (0)
Soliton Equations and their Algebro-Geometric Solutions: Algebraic Curves and Their Theta Functions in a Nutshell (2003) (0)
Differentials of Complex Interpolation Processes for Köthe Function Spaces (2016) (0)
F. Dirichlet forms for point interactions (2004) (0)
KdV and AKNS Darboux-Type Transformations (2003) (0)
Soliton Equations and Their Algebro-Geometric Solutions: Introduction (2003) (0)
A Jost–Pais-Type Reduction of Fredholm Determinants and Some Applications (2014) (0)
E. Time-dependent scattering theory for point interactions (2004) (0)
Editorial (2011) (0)
G. Point interactions and scales of Hilbert spaces (2004) (0)
Supersymmetry and Schr (2012) (0)
Editorial (2012) (0)
Perturbations of the H ∞ -calculus (2015) (0)
Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions (2014) (0)
The Ground State Energy of Schrόdinger Operators (1992) (0)
Algebraic Curves and Their Theta Functions in a Nutshell (2003) (0)
Erratum to “Non Self Adjoint Operators, Infinite Determinants, and Some Applications,” Russ. J. Math. Phys. 12, 443–471 (2005) (2020) (0)
B. Spectral properties of Hamiltonians defined as quadratic forms (2004) (0)
The Case n = 3 (2016) (0)
Green’s Functions and Euler’s Formula for $$\zeta (2n)$$ (2021) (0)
3 1 O ct 2 00 2 SPECTRAL ANALYSIS OF DARBOUX TRANSFORMATIONS FOR THE FOCUSING NLS (2022) (0)
Communications in Mathematical Physics On Local Borg – Marchenko Uniqueness Results ? , ? ? (2000) (0)
The basic sequence problem (2015) (0)
Spectral shift functions and Dirichlet-to-Neumann maps (2017) (0)
The Proof of Theorem 10.2: The General Case (2016) (0)
Coulomb Plus One-Center Point Interaction in Three Dimensions (1988) (0)
Renormalization, Nelson's symmetry and energy densities in a field theory with quadratic interaction (1978) (0)
Infinitely Many δ’-Interactions in One Dimension (1988) (0)
On Gel\cprime fand-Dickey and Drinfel\cprime d-Sokolov systems (1994) (0)
Elements of probability theory (2004) (0)
Valves in Differential Games (2015) (0)
H. Nonstandard analysis and point interactions (2004) (0)
Unusual Traces on Operator Ideals (2015) (0)
Spectral zeta-Functions and zeta-Regularized Functional Determinants for Regular Sturm-Liouville Operators (2021) (0)
On Positivity Preserving, Translation Invariant, Operators in $L^p(\mathbb{R}^n)^m$ (2017) (0)
On critical dipoles in dimensions n ⩾ 3 (2021) (0)
Soliton Equations and Their Algebro-Geometric Solutions: Spectral Measures and Weyl—Titchmarsh m -Functions for Schrödinger Operators (2003) (0)
On essential self-adjointness of singular Sturm-Liouville operators (2021) (0)
Soliton Equations and Their Algebro-Geometric Solutions: The Combined sine-Gordon and Modified KdV Hierarchy (2003) (0)
Errata and Addenda for Volume I (2008) (0)
4. The one-center ’-interaction in one dimension (2004) (0)
The Jacobi operator and its Donoghue $m$-functions (2021) (0)
The KdV Hierarchy (2003) (0)
A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index (2016) (0)
On the Modified Korteweg-de Vries Equation (2017) (0)
On the commutation relation[A, B]=−icI (1978) (0)
3. The one-center -interaction in one dimension (2004) (0)
Book review (1993) (0)
Random Hamiltonians with Point Interactions (1988) (0)
Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures (2018) (0)
Type and Order Convexity of Marcinkiewicz and Lorentz Spaces and Applications (2016) (0)
L. J. Lange on his 70th birthday (1999) (0)
Abstract wave equations and associated Dirac-type operators (2011) (0)
J. Relativistic point interactions in one dimension (2004) (0)
Rademacher Series from Orlicz to the Present Day (2016) (0)
Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory : a conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday, March 27-31, 2006, California Institute of Technology, Pasadena, California (2007) (0)
A. Self-adjoint extensions of symmetric operators (2004) (0)
Erratum to “Non Self Adjoint Operators, Infinite Determinants, and Some Applications,” Russ. J. Math. Phys. 12, 443–471 (2005) (2020) (0)
NONRELATIVISTIC SCATTERING THEORY (1981) (0)
Derivation of the Trace Formula: The Trace Class Result (2016) (0)
D. Boundary conditions for Schrödinger operators on (0 (2004) (0)
Nigel J. Kalton Curriculum Vitae (2015) (0)
MATRIX-VALUED GENERALIZATIONS OF THE THEOREMSOF BORG AND (2001) (0)
Infinitely Many Point Interactions in Two Dimensions (1988) (0)
Pointwise Estimates for Integral Kernels (2016) (0)
Rademacher series and decoupling (2016) (0)
Dirac-Type Operators (2016) (0)
Distances between Banach spaces (2016) (0)
The Index Theorem and Some Consequences (2016) (0)
Banach Envelopes of Non-Locally Convex Spaces (2015) (0)
Convergence of the weak dual greedy algorithm in L p -spaces (2016) (0)
Lower bounds for self-adjoint Sturm-Liouville operators (2022) (0)
Orthonormal systems in Banach spaces and their applications (2016) (0)
Addendum to: “Effective computation of traces, determinants, and ζ-functions for Sturm–Liouville operators” [J. Funct. Anal. 276 (2019) 520–562] (2023) (0)
C. Schrödinger operators with interactions concentrated around infinitely many centers (2004) (0)
Soliton Equations and Their Algebro-Geometric Solutions: Hyperelliptic Curves of the AKNS-Type (2003) (0)

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