Inclusion of Hamburger's power moment problem in the spectral theory of canonical systems

DOI10.1023/A:1015391405016zbMath1005.44004OpenAlexW50565264MaRDI QIDQ1608594

Israel S. Kac

Publication date: 29 August 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015391405016

zbMATH Keywords

Hamiltonianboundary-value problemspectral functionscanonical system of differential equationsHamburger's power moment problemStieltjes's power moment problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Moment problems (44A60)

Related Items (9)

The classical moment problem and generalized indefinite strings ⋮ Indefinite Hamiltonians ⋮ Jacobi Matrices and de Branges Spaces ⋮ Bounds on order of indeterminate moment sequences ⋮ A quantitative formula for the imaginary part of a Weyl coefficient ⋮ A growth estimate for the monodromy matrix of a canonical system ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Estimates for the order of Nevanlinna matrices and a Berezanskii-type theorem ⋮ Order problem for canonical systems and a conjecture of Valent

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