Fritz Gesztesy

Mathematical Physics · 2000–2016

A researcher in the Science corpus: 17 papers; trusts 29 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 96 citations into it; #1,037 of 8,562 by trust here, #789 by citations
• Applied Mathematics — 87 citations into it; #2,983 of 7,620 by trust here, #2,192 by citations
• Computational Theory and Mathematics — 71 citations into it; #1,379 of 12,182 by trust here, #1,748 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #7,341 of 10,127 by trust here, #6,421 by citations
• Atomic and Molecular Physics, and Optics — 6 citations into it; #6,935 of 7,135 by trust here, #5,611 by citations

Whom Fritz Gesztesy trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Giles Auchmuty
2. M. Mitrea
3. Ian Wood
4. Andrea Posilicano
5. Mahamadi Warma
6. Wolfgang Arendt
7. Barry Simon
8. Hans Triebel
9. Daniel Daners
10. O. Veliev

Who trusts Fritz Gesztesy overall

1. Olaf Post
2. Jussi Behrndt
3. M. Mitrea
4. Wenxiu Ma
5. S. Hassi
6. Wolfgang Arendt
7. V. Gol’dshtein
8. M. Malamud
9. H. D. de Snoo
10. A. T. Elst

Papers from Fritz Gesztesy's perspective

Ordered by how strongly the researchers Fritz Gesztesy trusts endorse each paper. Same corpus, a different order for every researcher.

1. Robin boundary value problems on arbitrary domains
2. The Laplacian with Robin Boundary Conditions on Arbitrary Domains
3. Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities
4. Resonances in One Dimension and Fredholm Determinants
5. On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
6. Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
7. Trace ideals and their applications
8. Perturbation theory for linear operators
9. Boundary triplets and M‐functions for non‐selfadjoint operators, with applications to elliptic PDEs and block operator matrices
10. On the deficiency indices and self-adjointness of symmetric Hamiltonian systems

Their papers

• Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities (2008) — 84 citations
• Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schr\ (2008) — 56 citations
• Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\ (2008) — 104 citations
• Uniqueness Results for Matrix-Valued Schrodinger, Jacobi, and Dirac-Type Operators (2000) — 87 citations
• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems (2003) — 53 citations
• Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators (2001) — 135 citations
• Spectral theory of elliptic operators in exterior domains (2008) — 78 citations
• A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009) — 120 citations
• On spectral theory for Schrödinger operators with strongly singular potentials (2005) — 136 citations
• A Schauder and Riesz Basis Criterion for Non-Self-Adjoint Schr\ (2011) — 57 citations
• Spaces of Lipschitz and Hölder functions and their applications (2016) — 111 citations
• The H∞-Functional Calculus and Square Function Estimates (2015) — 49 citations
• A criterion for Hill operators to be spectral operators of scalar type (2006) — 69 citations
• Non-self-adjoint operators, infinite determinants, and some applications (2005) — 51 citations
• Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation (2005) — 81 citations
• Solvable Models in Quantum Mechanics: Second Edition (2004) — 335 citations
• Soliton Equations and Their Algebro-Geometric Solutions: The AKNS Hierarchy (2003) — 350 citations