3 papers
math.SP2022
Canonical systems and quantum graphs
Kyle Scarbrough
The representation of the resolvent as an integral operator, the function, and the associated spectral representation are fundamental topics in the spectral theory of self-adjo…
math.SP2019
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…
math.SP2018
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…