4 papers
math.SP2024
Reflectionless operators and automorphic Herglotz functions
Christian Remling
I am interested in canonical systems and Dirac operators that are reflectionless on an open set. In this situation, the half line functions are holomorphic continuations of eac…
math.SP2024
Reflectionless Dirac operators and matrix valued Krein functions
Christian Remling
I prove a sharp bound on reflectionless Dirac operators.
math.SP2024
Reflectionless Dirac operators and canonical systems
Christian Remling, Jie Zeng
We study canonical systems that are reflectionless on an open set. In this situation, the two half line functions are holomorphic continuations of each other and may thus be co…
math.SP2024
Topological properties of reflectionless canonical systems
Max Forester, Christian Remling
We study the topological properties of spaces of reflectionless canonical systems. In this analysis, a key role is played by a natural action of the group $\operatorname{PSL}(2,\ma…