Canonical systems and de Branges spaces
Roman Romanov
TL;DR
This paper provides an exposition of the inverse spectral theory for canonical systems, utilizing de Branges spaces of entire functions to deepen understanding of their spectral properties.
Contribution
It offers a comprehensive exposition connecting canonical systems with de Branges spaces, clarifying their spectral theory and inverse problems.
Findings
Establishes a framework linking canonical systems to de Branges spaces
Clarifies the inverse spectral problem for canonical systems
Provides insights into the structure of de Branges spaces
Abstract
This is an exposition of the inverse spectral theory of canonical systems based on de Branges spaces of entire functions
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Differential Equations and Dynamical Systems · advanced mathematical theories