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Fritz Gesztesy

Identifiers

  • name variant Fritz Gesztesy 0.60 · backfill

Papers (127)

  1. On Weighted Hardy-Type Inequalities math.CA · 2019 · author #2
  2. The inverse approach to Dirac-type systems based on the $A$-function concept math.SP · 2019 · author #1
  3. Trace formulas applied to the Riemann $\zeta$-function math.SP · 2018 · author #2
  4. On traces and modified Fredholm determinants for half-line Schr\"odinger operators with purely discrete spectra math.SP · 2018 · author #1
  5. Some Remarks on the Operator T^*T math.SP · 2018 · author #1
  6. On Positivity Preserving, Translation Invariant, Operators in $L^p(\mathbb{R}^n)^m$ math.FA · 2017 · author #1
  7. On the Global Limiting Absorption Principle for Massless Dirac Operators math.SP · 2017 · author #2
  8. A spectral shift function for Schr\"{o}dinger operators with singular interactions math.SP · 2017 · author #2
  9. Factorizations and Hardy-Rellich-Type Inequalities math.AP · 2017 · author #1
  10. Trace Formulas for a Class of non-Fredholm Operators: A Review math.AP · 2016 · author #2
  11. Spectral shift functions and Dirichlet-to-Neumann maps math.SP · 2016 · author #2
  12. Renormalized oscillation theory for Hamiltonian systems math.CA · 2016 · author #1
  13. Coupling of symmetric operators and the third Green identity math.AP · 2016 · author #3
  14. A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions math.AP · 2016 · author #2
  15. Dirichlet-to-Neumann Maps, Abstract Weyl-Titchmarsh $M$-Functions, and a Generalized Index of Unbounded Meromorphic Operator-Valued Functions math.AP · 2016 · author #2
  16. On (conditional) positive semidefiniteness in a matrix-valued context math.CA · 2016 · author #1
  17. On the index of meromorphic operator-valued functions and some applications math.SP · 2015 · author #2
  18. Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy nlin.SI · 2015 · author #2
  19. Double operator integral methods applied to continuity of spectral shift functions math.SP · 2015 · author #2
  20. Decoupling of Deficiency Indices and Applications to Schr\"odinger-Type Operators with Possibly Strongly Singular Potentials math.AP · 2015 · author #1
  21. On the Index of a Non-Fredholm Model Operator math.SP · 2015 · author #2
  22. On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example math-ph · 2015 · author #2
  23. Donoghue-Type $m$-Functions for Schr\"odinger Operators with Operator-Valued Potentials math.SP · 2015 · author #1
  24. The Callias Index Formula Revisited math.AP · 2015 · author #1
  25. The Spectral shift function and the Witten index math.SP · 2015 · author #2
  26. Some applications of almost analytic extensions to operator bounds in trace ideals math.FA · 2015 · author #1
  27. The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains math.SP · 2015 · author #2
  28. Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains math.AP · 2014 · author #1
  29. On a problem in eigenvalue perturbation theory math.FA · 2014 · author #1
  30. Some Operator Bounds Employing Complex Interpolation Revisited math.FA · 2014 · author #1
  31. A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions math.FA · 2014 · author #1
  32. On the Witten index in terms of spectral shift functions math.SP · 2014 · author #2
  33. A Jost-Pais-type reduction of Fredholm determinants and some applications math.FA · 2014 · author #2
  34. A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets math.SP · 2014 · author #1
  35. Inverse Spectral Problems for Schr\"odinger-Type Operators with Distributional Matrix-Valued Potentials math.SP · 2014 · author #2
  36. Principal Solutions Revisited math.SP · 2014 · author #2
  37. Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions II math.AP · 2013 · author #1
  38. On square root domains for non-self-adjoint Sturm-Liouville operators math.CA · 2013 · author #1
  39. Some Remarks on the Spectral Problem Underlying the Camassa-Holm Hierarchy math.SP · 2013 · author #1
  40. On Spectral Theory for Schr\"odinger Operators with Operator-Valued Potentials math.SP · 2013 · author #1
  41. On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations math.AP · 2012 · author #1
  42. Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials math.SP · 2012 · author #2
  43. Heat Kernel Bounds for Elliptic Partial Differential Operators in Divergence Form with Robin-Type Boundary Conditions math.AP · 2012 · author #1
  44. Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials math.SP · 2012 · author #2
  45. Supersymmetry and Schr\"odinger-type operators with distributional matrix-valued potentials math.SP · 2012 · author #2
  46. Boundary Data Maps and Krein's Resolvent Formula for Sturm-Liouville Operators on a Finite Interval math.SP · 2012 · author #2
  47. 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 math.SP · 2012 · author #2
  48. On a class of Model Hilbert Spaces math.SP · 2011 · author #1
  49. An Abstract Approach to Weak Convergence of Spectral Shift Functions and Applications to Multi-Dimensional Schr\"odinger Operators math.SP · 2011 · author #1
  50. Weak Convergence of Spectral Shift Functions for One-Dimensional Schr\"odinger Operators math.SP · 2011 · author #1
  51. Initial Value Problems and Weyl--Titchmarsh Theory for Schr\"odinger Operators with Operator-Valued Potentials math.SP · 2011 · author #1
  52. A Schauder and Riesz Basis Criterion for Non-Self-Adjoint Schr\"odinger Operators with Periodic and Antiperiodic Boundary Conditions math.SP · 2011 · author #1
  53. Abstract Wave Equations and Associated Dirac-Type Operators math.AP · 2010 · author #1
  54. The Damped String Problem Revisited math.SP · 2010 · author #1
  55. Symmetrized Perturbation Determinants and Applications to Boundary Data Maps and Krein-Type Resolvent Formulas math.SP · 2010 · author #1
  56. The index formula and the spectral shift function for relatively trace class perturbations math.SP · 2010 · author #1
  57. On a Question of A. E. Nussbaum on Measurability of Families of Closed Linear Operators in a Hilbert Space math.FA · 2010 · author #1
  58. Minimal Rank Decoupling of Full-Lattice CMV Operators with Scalar- and Matrix-Valued Verblunsky Coefficients math.SP · 2010 · author #2
  59. Boundary Data Maps for Schrodinger Operators on a Compact Interval math.SP · 2010 · author #2
  60. On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants math.SP · 2010 · author #1
  61. On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants math.SP · 2010 · author #1
  62. Inverse spectral theory as influenced by Barry Simon math.SP · 2010 · author #1
  63. Weyl-Titchmarsh Theory and Borg-Marchenko-type Uniqueness Results for CMV Operators with Matrix-Valued Verblunsky Coefficients math.SP · 2010 · author #2
  64. A Description of All Self-Adjoint Extensions of the Laplacian and Krein-Type Resolvent Formulas on Nonsmooth Domains math.AP · 2009 · author #1
  65. Spectral Theory for Perturbed Krein Laplacians in Nonsmooth Domains math.SP · 2009 · author #2
  66. The Krein-von Neumann Extension and its Connection to an Abstract Buckling Problem math.SP · 2009 · author #2
  67. Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities math.SP · 2008 · author #1
  68. Spectral Theory of Elliptic Operators in Exterior Domains math.SP · 2008 · author #1
  69. Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications math.FA · 2008 · author #1
  70. Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schr\"odinger Operators on Bounded Lipschitz Domains math.AP · 2008 · author #1
  71. Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\"odinger Operators on Bounded Lipschitz Domains math.AP · 2008 · author #1
  72. Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schr\"odinger Operators Revisited math.SP · 2008 · author #1
  73. Local Spectral Properties of Reflectionless Jacobi, CMV, and Schr\"odinger Operators math.SP · 2008 · author #1
  74. Borg-Marchenko-type Uniqueness Results for CMV Operators math.SP · 2008 · author #2
  75. Derivatives of (Modified) Fredholm Determinants and Stability of Standing and Traveling Waves math.AP · 2008 · author #1
  76. Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy nlin.SI · 2007 · author #1
  77. On the Koplienko spectral shift function, I. Basics math.SP · 2007 · author #1
  78. Variations on a Theme of Jost and Pais math.SP · 2007 · author #1
  79. The Ablowitz-Ladik Hierarchy Revisited nlin.SI · 2007 · author #1
  80. Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy nlin.SI · 2006 · author #1
  81. A Criterion for Hill Operators to be Spectral Operators of Scalar Type math.SP · 2006 · author #1
  82. Local Conservation Laws and the Hamiltonian Formalism for the Toda Hierarchy Revisited nlin.SI · 2006 · author #1
  83. Spectral Properties of a Class of Reflectionless Schr\"odinger Operators math.SP · 2006 · author #1
  84. The Algebro-Geometric Toda Hierarchy Initial Value Problem for Complex-Valued Initial Data nlin.SI · 2006 · author #1
  85. Evans Functions, Jost Functions, and Fredholm Determinants math.DS · 2005 · author #1
  86. When is a non-self-adjoint Hill operator a spectral operator of scalar type? math.SP · 2005 · author #1
  87. On Self-adjoint and J-self-adjoint Dirac-type Operators: A Case Study math.SP · 2005 · author #2
  88. On the spectrum of Jacobi operators with quasi-periodic algebro-geometric coefficients math.SP · 2005 · author #2
  89. A Borg-Type Theorem Associated with Orthogonal Polynomials on the Unit Circle math.SP · 2005 · author #1
  90. Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle math.SP · 2005 · author #1
  91. Trace Formulas and Borg-Type Theorems for Matrix-Valued Jacobi and Dirac Finite Difference Operators math.SP · 2004 · author #2
  92. Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem math.SP · 2004 · author #2
  93. J-Self-Adjointness of a Class of Dirac-Type Operators math.SP · 2004 · author #2
  94. (Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited math.SP · 2003 · author #1
  95. On the spectrum of Schr\"odinger operators with quasi-periodic algebro-geometric KdV potentials math.SP · 2003 · author #2
  96. On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems math.SP · 2003 · author #2
  97. Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schr\"odinger Operators math.SP · 2003 · author #1
  98. On a Theorem of Halphen and its Application to Integrable Systems nlin.SI · 2003 · author #1
  99. An Explicit Characterization of Calogero--Moser Systems nlin.SI · 2003 · author #1
  100. Spectral Analysis of Darboux Transformations for the Focusing NLS Hierarchy nlin.SI · 2002 · author #2
  101. Real-Valued Algebro-Geometric Solutions of the Camassa--Holm hierarchy nlin.SI · 2002 · author #1
  102. $\mathbf {SL_2(\bbR)}$, Exponential Herglotz Representations, and Spectral Averaging math.SP · 2002 · author #1
  103. On Povzner--Wienholtz-type Self-Adjointness Results for Matrix-Valued Sturm--Liouville Operators math.SP · 2002 · author #2
  104. A Class of Matrix-Valued Schr\"odinger Operators with Prescribed Finite-Band Spectra math.SP · 2001 · author #1
  105. Algebro-Geometric Solutions of the Camassa--Holm hierarchy nlin.SI · 2001 · author #1
  106. Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators math.SP · 2001 · author #2
  107. Uniqueness Results for Matrix-Valued Schr\"odinger, Jacobi, and Dirac-Type Operators math.SP · 2000 · author #1
  108. Integrable Systems in the Infinite Genus Limit solv-int · 1999 · author #1
  109. Borg-Type Theorems for Matrix-Valued Schr\"{o}dinger Operators math.SP · 1999 · author #2
  110. Weyl-Titchmarsh M-Function Asymptotics for Matrix-Valued Schr\"odinger Operators math.SP · 1999 · author #2
  111. The Xi Operator and its Relation to Krein's Spectral Shift Function math.SP · 1999 · author #1
  112. Some Applications of the Spectral Shift Operator math.SP · 1999 · author #1
  113. The Spectral Shift Operator math.SP · 1999 · author #1
  114. Darboux-type transformations and hyperelliptic curves solv-int · 1999 · author #1
  115. The classical Boussinesq hierarchy revisited solv-int · 1998 · author #1
  116. The Cole-Hopf and Miura transformations revisited solv-int · 1998 · author #1
  117. A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure math.SP · 1998 · author #1
  118. Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach solv-int · 1998 · author #1
  119. Algebro-Geometric Solutions of the Boussinesq Hierarchy solv-int · 1998 · author #2
  120. Some Applications of Operator-Valued Herglotz Functions math.FA · 1998 · author #1
  121. On Matrix-Valued Herglotz Functions funct-an · 1997 · author #1
  122. An Addendum to Krein's Formula funct-an · 1997 · author #1
  123. A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions solv-int · 1997 · author #1
  124. An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy solv-int · 1997 · author #1
  125. A Characterization of All Elliptic Solutions of the AKNS Hierarchy solv-int · 1997 · author #1
  126. Trace formulae and inverse spectral theory for Schr\"odinger operators math.SP · 1993 · author #1
  127. New types of soliton solutions math.AP · 1992 · author #1

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Frequent Coauthors