121 citations · 160 across the 4 of their papers we have counts for
4 papers
Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1
We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals associated with rather general differential…
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
We derive a systematic and recursive approach to local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods rely on a recursive approa…
Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
We provide a detailed derivation of all complex-valued algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. In addition, we survey a recursive construction of t…
The Algebro-Geometric Toda Hierarchy Initial Value Problem for Complex-Valued Initial Data
Fritz Gesztesy, Helge Holden, Gerald Teschl
We discuss the algebro-geometric initial value problem for the Toda hierarchy with complex-valued initial data and prove unique solvability globally in time for a set of initial (D…