An alternate proof of the De Branges theorem on canonical systems

DOI10.1155/2014/704607zbMath1293.30070arXiv1206.5550OpenAlexW1976277771WikidataQ59048916 ScholiaQ59048916MaRDI QIDQ2449035

Keshav Raj Acharya

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5550

zbMATH Keywords

linear relationsDe Branges theorem on canonical systems

Mathematics Subject Classification ID

Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Linear relations (multivalued linear operators) (47A06) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (5)

Density of Schrödinger Weyl-Titchmarsh \(m\) functions on Herglotz functions ⋮ The \(m\)-functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators ⋮ On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory ⋮ Remling’s theorem on canonical systems ⋮ Generalized reflection coefficients

Cites Work

• Self-adjoint extensions of symmetric subspaces
• Boundary-value problems for two-dimensional canonical systems
• Schrödinger operators and de Branges spaces.
• The inverse spectral problem for canonical systems
• Self-adjoint extension and spectral theory of a linear relation in a Hilbert space
• Some Hilbert Spaces of Entire Functions. II
• Extension theory of formally normal and symmetric subspaces
• Subordinate solutions and spectral measures of canonical systems

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