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Topological properties of reflectionless canonical systems

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arxiv 2409.04862 v1 pith:TNPCQDQ2 submitted 2024-09-07 math.SP math-phmath.MP

Max Forester , Christian Remling This is my paper · ORCID
classification math.SPmath-phmath.MP
keywords canonicalpropertiesreflectionlessspacessystemstopologicalactionanalysis
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abstract

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 $\operatorname{PSL}(2,\mathbb R)$ on these spaces.

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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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