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Reflectionless Dirac operators and canonical systems

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arxiv 2410.20218 v1 pith:6SYAEKY4 submitted 2024-10-26 math.SP math-phmath.CVmath.MP

Reflectionless Dirac operators and canonical systems

Christian Remling , Jie Zeng This is my paper
classification math.SP math-phmath.CVmath.MP
keywords canonicalsystemsdiracholomorphicoperatorsreflectionlessabstractcombined
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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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