Direct and inverse spectral problems for generalized strings

DOI10.1007/BF01257875zbMath0898.34076OpenAlexW1967270244MaRDI QIDQ1386741

Henrik Winkler, Heinz K. Langer

Publication date: 8 November 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01257875

zbMATH Keywords

eigenvalue problemsgeneralized stringmass distribution functionTitchmarsh-Weyl coefficients

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (20)

Density of Schrödinger Weyl-Titchmarsh \(m\) functions on Herglotz functions ⋮ The inverse spectral problem for indefinite strings ⋮ The classical moment problem and generalized indefinite strings ⋮ Two-Dimensional Hamiltonian Systems ⋮ Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation ⋮ Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator ⋮ An indefinite inverse spectral problem of Stieltjes type ⋮ On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations ⋮ Harmonic extension technique for non-symmetric operators with completely monotone kernels ⋮ A quantitative formula for the imaginary part of a Weyl coefficient ⋮ Boundary traces of shift-invariant diffusions in half-plane ⋮ Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type ⋮ Products of generalized Nevanlinna functions with symmetric rational functions ⋮ Transmutation Operators and Their Applications ⋮ On semibounded canonical systems ⋮ An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation ⋮ Estimates for the order of Nevanlinna matrices and a Berezanskii-type theorem ⋮ Boundary-value problems for two-dimensional canonical systems ⋮ Pontryagin spaces of entire functions. II ⋮ Quadratic operator pencils associated with the conservative Camassa-Holm flow

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