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Reflectionless Dirac operators and matrix valued Krein functions

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arxiv 2412.01599 v1 pith:JSMKPXSX submitted 2024-12-02 math.SP math-phmath.MP

classification math.SPmath-phmath.MP
keywords diracoperatorsreflectionlessboundfunctionskreinmatrixprove
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I prove a sharp bound on reflectionless Dirac operators.

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Cited by 1 Pith paper

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  1. Reflectionless operators and automorphic Herglotz functions

    math.SP 2024-12 conditional novelty 7.0 of 10

    Reflectionless Dirac operators on a finite-gap set are homeomorphic to a product of N probability-measure spaces on circles, with finite-gap operators as the extreme points.

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