An inverse spectral theorem for a Hill's matrix

DOI10.1016/0024-3795(84)90173-3zbMath0531.39001OpenAlexW2074556104MaRDI QIDQ788216

Harry Hochstadt

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90173-3

zbMATH Keywords

periodic coefficientssecond order linear difference equationHill's differential equationHill's matrixinstability intervals

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Additive difference equations (39A10)

Related Items (1)

Hill's matrices with some vanishing instability intervals

Cites Work

• Unnamed Item
• A generalization of Borg's inverse theorem for Hill's equations
• On the theory of Hill's matrices and related inverse spectral problems
• An inverse spectral problem
• Inverse eigenvalue problems for Jacobi matrices
• On the construction of a Jacobi matrix from spectral data

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