49 citations · 87 across the 11 of their papers we have counts for
16 papers
The essential spectrum of canonical systems
Christian Remling, Kyle Scarbrough
We study the minimum of the essential spectrum of canonical systems . Our results can be described as a generalized and more quantitative version of the characterization…
Oscillation theory and semibounded canonical systems
Christian Remling, Kyle Scarbrough
Oscillation theory locates the spectrum of a differential equation by counting the zeros of its solutions. We present a version of this theory for canonical systems and…
Toda maps, cocycles, and canonical systems
Christian Remling
I present a discussion of the hierarchy of Toda flows that gives center stage to the associated cocycles and the maps they induce on the functions. In the second part, these id…
Generalized Toda flows
Darren C. Ong, Christian Remling
The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger gro…
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles
Sergei Grudsky, Christian Remling, Alexei Rybkin
We develop the inverse scattering transform for the KdV equation with real singular initial data of the form , where and $r=…
Generalized reflection coefficients
Christian Remling
I consider general reflection coefficients for arbitrary one-dimensional whole line differential or difference operators of order . These reflection coefficients are semicontinu…