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- Fritz Gesztesy

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
63
Citations
11,022
431
World Ranking
322
National Ranking
179

2013 - Fellow of the American Mathematical Society

1987 - Ludwig Boltzmann Prize, Austrian Physical Society

Member of the Norwegian Academy of Science and Letters Mathematics

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary areas of investigation include Mathematical analysis, Pure mathematics, Operator theory, Quantum mechanics and Algebra. His work carried out in the field of Mathematical analysis brings together such families of science as Eigenvalues and eigenvectors and Type. His Type research incorporates elements of Differential operator, Combinatorics, Resolvent, Operator and Lipschitz continuity.

In Pure mathematics, Fritz Gesztesy works on issues like Trace, which are connected to Dirac operator and Dirac. Fritz Gesztesy focuses mostly in the field of Algebra, narrowing it down to topics relating to Korteweg–de Vries equation and, in certain cases, Hermite polynomials. His studies deal with areas such as Real line and Spectrum as well as Mathematical physics.

- On Matrix–Valued Herglotz Functions (235 citations)
- Solvable Models in Quantum Mechanics: Second Edition (225 citations)
- Soliton Equations and their Algebro-Geometric Solutions (206 citations)

Fritz Gesztesy mainly focuses on Pure mathematics, Mathematical analysis, Mathematical physics, Type and Schrödinger's cat. His biological study spans a wide range of topics, including Bounded function and Eigenvalues and eigenvectors. His Mathematical analysis study which covers Korteweg–de Vries equation that intersects with Integrable system.

As part of one scientific family, Fritz Gesztesy deals mainly with the area of Mathematical physics, narrowing it down to issues related to the Function, and often Spectral shift. His Type study combines topics in areas such as Matrix, Sturm–Liouville theory, Uniqueness and Combinatorics. Schrödinger's cat is a primary field of his research addressed under Quantum mechanics.

- Pure mathematics (33.86%)
- Mathematical analysis (25.35%)
- Mathematical physics (20.59%)

- Pure mathematics (33.86%)
- Combinatorics (14.85%)
- Banach space (5.94%)

Fritz Gesztesy spends much of his time researching Pure mathematics, Combinatorics, Banach space, Type and Hilbert space. His Pure mathematics research includes elements of Boundary value problem, Schrödinger's cat, Mathematical analysis and Bounded function. He works on Mathematical analysis which deals in particular with Partial derivative.

His Combinatorics study also includes

- Differential operator together with Friedrichs extension and Quantum mechanics,
- Eigenvalues and eigenvectors which is related to area like Algebraic number. Fritz Gesztesy interconnects Bessel function, Operator norm, Inverse, Function and Symmetric operator in the investigation of issues within Type. The various areas that Fritz Gesztesy examines in his Function study include Spectral theorem and Mathematical physics.

- Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials (65 citations)
- Supersymmetry and Schrodinger-type operators with distributional matrix-valued potentials (33 citations)
- Inverse spectral theory for Sturm–Liouville operators with distributional potentials (31 citations)

- Quantum mechanics
- Mathematical analysis
- Hilbert space

Fritz Gesztesy focuses on Pure mathematics, Combinatorics, Type, Hilbert space and Bounded function. His Pure mathematics study integrates concerns from other disciplines, such as Logarithm, Schrödinger's cat and Algebraic number. His Type research is multidisciplinary, incorporating elements of Function, Inverse and Polar decomposition.

His study looks at the intersection of Function and topics like Mathematical physics with Block matrix. Fritz Gesztesy combines subjects such as Matrix and Isospectral, Mathematical analysis, Hamiltonian system with his study of Inverse. His research in Bounded function intersects with topics in Discrete mathematics, Lipschitz continuity, Boundary value problem, Limit point and Spectral theory.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Solvable Models in Quantum Mechanics: Second Edition

S. Albeverio;F. Gesztesy;R. Høegh-Krohn;H. Holden.

**(2004)**

358 Citations

Soliton Equations and their Algebro-Geometric Solutions

Fritz Gesztesy;Helge Holden.

**(2003)**

324 Citations

Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum

Fritz Gesztesy;Barry Simon.

Transactions of the American Mathematical Society **(1999)**

274 Citations

On Matrix–Valued Herglotz Functions

Fritz Gesztesy;Eduard Tsekanovskii.

Mathematische Nachrichten **(2000)**

269 Citations

Weakly coupled bound states in quantum waveguides

W. Bulla;F. Gesztesy;W. Renger;B. Simon.

Proceedings of the American Mathematical Society **(1997)**

230 Citations

Weyl-Titchmarsh M-function asymptotics, local uniqueness results, trace formulas, and Borg-type theorems for Dirac operators

Steve Clark;Fritz Gesztesy.

Transactions of the American Mathematical Society **(2002)**

196 Citations

ONE-DIMENSIONAL SCHRODINGER OPERATORS WITH INTERACTIONS SINGULAR ON A DISCRETE SET

F. Gesztesy;W. Kirsch.

Crelle's Journal **(1985)**

155 Citations

On Local Borg-Marchenko Uniqueness Results

Fritz Gesztesy;Barry Simon.

Communications in Mathematical Physics **(2000)**

153 Citations

A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure

Fritz Gesztesy;Barry Simon.

Annals of Mathematics **(2000)**

151 Citations

An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy

F. Gesztesy;R. Ratnaseelan.

Reviews in Mathematical Physics **(1998)**

140 Citations

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