Canonical systems and de Branges spaces

2014/08/26 by Roman Romanov, Romanov, Roman · 4 citations
Mathematics · #30D15 #34A55 #47B32 #Advanced Differential Equations and Dynamical Systems #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1408.6022

openalex publication_date 2014/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an exposition of the inverse spectral theory of canonical systems based on de Branges spaces of entire functions

Cited by

• One sided orthogonal polynomials and a pointwise convergence result for SU(2)-valued nonlinear Fourier series
• Inverse dynamic problems for canonical systems and de Branges spaces
• On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
• Inverse problem for semi-infinite Jacobi matrices and associated Hilbert spaces of analytic functions

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