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Mathematics

D-Index
69
Citations
13401
World Ranking
297
National Ranking
164

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1987 - Ludwig Boltzmann Prize, Austrian Physical Society
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Fritz Gesztesy is affiliated with Baylor University in the United States and has a research focus rooted primarily in the field of Mathematics, with significant contributions to Mathematical Physics and Applied Mathematics.

The scientist's recent publications reflect a concentration on spectral theory and differential equations, with notable papers including:

  • The Krein-Von Neumann Extension Revisited, 2022, The Scholarship East Carolina University's Institutional Repository (East Carolina University)
  • The generalized Birman-Schwinger principle, 2021, Transactions of the American Mathematical Society
  • A Sequence of Weighted Birman-Hardy-Rellich Inequalities with Logarithmic Refinements, 2022, Integral Equations and Operator Theory
  • On domain properties of Bessel-type operators, 2022, Discrete and Continuous Dynamical Systems - S
  • Donoghue -functions for Singular Sturm-Liouville operators, 2024, St Petersburg Mathematical Journal

Frequent co-authors collaborating with Fritz Gesztesy include:

  • Jonathan Stanfill
  • Michael M. H. Pang
  • Lance L. Littlejohn
  • Roger Nichols
  • Jussi Behrndt

Publications often appear in venues such as:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Annals of Functional Analysis
  • Discrete and Continuous Dynamical Systems - S
  • Complex Analysis and Operator Theory

Book publications by Fritz Gesztesy have been issued by a range of academic publishers including American Mathematical Society, Memoirs of the European Mathematical Society, and Springer Nature. Titles include:

  • Sturm-Liouville Operators, Their Spectral Theory, and Some Applications (2024)
  • The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators (2023)
  • From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory (2021)

Major areas of study encompass:

  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

The main topics of the scientist's work are:

  • Spectral Theory in Mathematical Physics
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Matrix Theory and Algorithms
  • Algebraic and Geometric Analysis

Fritz Gesztesy's recognition includes awards such as the Fellow of the American Mathematical Society (2013), the Ludwig Boltzmann Prize from the Austrian Physical Society (1987), and membership in the Norwegian Academy of Science and Letters in the field of Mathematics.

Best Publications

  • Solvable Models in Quantum Mechanics: Second Edition

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

  • Soliton Equations and their Algebro-Geometric Solutions

    Fritz Gesztesy;Helge Holden

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

    Fritz Gesztesy;Barry Simon

  • On Matrix–Valued Herglotz Functions

    Fritz Gesztesy;Eduard Tsekanovskii

  • Weakly coupled bound states in quantum waveguides

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

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

    Steve Clark;Fritz Gesztesy

  • On Local Borg-Marchenko Uniqueness Results

    Fritz Gesztesy;Barry Simon

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

    Fritz Gesztesy;Barry Simon

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

    F. Gesztesy;W. Kirsch

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

    F. Gesztesy;R. Ratnaseelan

  • m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices

    Fritz Gesztesy;Barry Simon

  • Exactly solvable models of sphere interactions in quantum mechanics

    Jean-Pierre Antoine;F. Gesztesy;Juma Shabani

  • Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

    Fritz Gesztesy;Marius Mitrea

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

    Jonathan Eckhardt;Fritz Gesztesy;Roger Nichols;Gerald Teschl

  • Deficiency indices and singular boundary conditions in quantum mechanics

    W. Bulla;F. Gesztesy

  • On spectral theory for Schrödinger operators with strongly singular potentials

    Fritz Gesztesy;Maxim Zinchenko

  • Algebro-Geometric Solutions of the Camassa-Holm hierarchy

    Fritz Gesztesy;Helge Holden

  • A complete spectral characterization of the double commutation method

    F. Gesztesy

  • The xi function

    Fritz Gesztesy;Barry Simon

  • Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics

    Désiré Bollé;F Gesztesy;H Grosse;W Schweiger

  • Soliton Equations and Their Algebro-Geometric Solutions: Bibliography

    Fritz Gesztesy;Helge Holden

Frequent Co-Authors

Helge Holden
Helge Holden Norwegian University of Science and Technology
Gerald Teschl
Gerald Teschl University of Vienna
Gilles Godefroy
Gilles Godefroy Institut de Mathématiques de Jussieu
Loukas Grafakos
Loukas Grafakos University of Missouri
Barry Simon
Barry Simon California Institute of Technology
Marius Mitrea
Marius Mitrea Baylor University
Fedor Sukochev
Fedor Sukochev University of New South Wales
Alan L. Carey
Alan L. Carey Australian National University
Sergio Albeverio
Sergio Albeverio University of Bonn
Harald Grosse
Harald Grosse University of Vienna

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