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arXiv · 2410.20218

Reflectionless Dirac operators and canonical systems

Christian Remling·Jie Zeng
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Abstract

We study canonical systems that are reflectionless on an open set. In this situation, the two half line $m$ functions are holomorphic continuations of each other and may thus be combined into a single holomorphic function. This idea was explored in [11], and we continue these investigations here. We focus on Dirac operators and especially their interplay with canonical systems, and we provide a more general and abstract framework.

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BibTeXRIS

Christian Remling, Jie Zeng. 2024-10-26. Reflectionless Dirac operators and canonical systems. https://arxiv.org/abs/2410.20218

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