2 citations · 4 across the 5 of their papers we have counts for
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Restrictions on the existence of a canonical system flow hierarchy
Injo Hur, Darren C. Ong
The KdV hierarchy is a family of evolutions on a Schrödinger operator that preserves its spectrum. Canonical systems are a generalization of Schrödinger operators, that nevertheles…
The -functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators
Injo Hur
We explore the sparsity of Weyl-Titchmarsh -functions of discrete Schrödinger operators. Due to this, the set of their -functions cannot be dense on the set of those for Jaco…
Density of Schrödinger Weyl-Titchmarsh m functions on Herglotz functions
Injo Hur
We show that the Herglotz functions that arise as Weyl-Titchmarsh functions of one-dimensional Schrödinger operators are dense in the space of all Herglotz functions with respe…
The Marchenko representation of reflectionless Jacobi and Schrodinger operators
Injo Hur, Matt McBride, Christian Remling
We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms…
Ergodic Jacobi matrices and conformal maps
Injo Hur, Christian Remling
We study structural properties of the Lyapunov exponent and the density of states for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis,…