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Canonical systems and de Branges spaces

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arxiv 1408.6022 v1 pith:BLYSL5PJ submitted 2014-08-26 math.SP math.FA

Roman Romanov This is my paper · ORCID
classification math.SPmath.FA
keywords brangescanonicalspacessystemsentireexpositionfunctionsinverse
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This is an exposition of the inverse spectral theory of canonical systems based on de Branges spaces of entire functions

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices

    math.AP 2025-05 conditional novelty 5.0 of 10

    For a wave-type dynamical system with a finite Jacobi matrix, the Fourier images of the reachable set, equipped with the connecting operator metric, form a de Branges space.

  2. Inverse dynamic problems for canonical systems and de Branges spaces

    math.AP 2025-05 conditional novelty 4.0 of 10

    The authors show that dynamic inverse problems for wave, Dirac and Jacobi systems are equivalent to inverse problems for canonical systems, and outline a dynamic de Branges space construction.

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