What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (33.86%)
- Mathematical analysis (25.35%)
- Mathematical physics (20.59%)
What were the highlights of his more recent work (between 2012-2021)?
- Pure mathematics (33.86%)
- Combinatorics (14.85%)
- Banach space (5.94%)
In recent papers he was focusing on the following fields of study:
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.
Between 2012 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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