A spectral transform for the matrix Hill's equation

DOI10.1216/rmjm/1181069832zbMath1072.34098OpenAlexW2086418279MaRDI QIDQ1768060

Xianqiang Yang

Publication date: 11 March 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069832

zbMATH Keywords

Paley-Wiener spacesspectral transformFloquet matrix

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Conformal spectral theory for the monodromy matrix ⋮ Spectral asymptotics for the third order operator with periodic coefficients ⋮ Spectral estimates for a periodic fourth-order operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaps and bands of one dimensional periodic Schrödinger operators
• Fibration of the phase space for the Korteweg-de Vries equation
• The spectrum of Hill's equation
• Isospectral vector-valued Sturm-Liouville problems
• Eigenvalue estimates and trace formulas for the matrix Hill's equation
• An inverse problem for the matrix Schrödinger equation
• Perturbation theory for linear operators.
• On the Extension of Inverse Scattering Method
• An Explicit Solution of the Inverse Periodic Problem for Hill’s Equation
• Isospectral sets for boundary value problems on the unit interval
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• The inverse problem for periodic potentials
• Two inverse eigenvalue problems for vectorial Sturm-Liouville equations
• Compactness of Floquet isospectral sets for the matrix Hill's equation
• Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
• The Borg theorem for the vectorial Hill's equation
• Periodic and almost-periodic potentials in inverse problems

This page was built for publication: A spectral transform for the matrix Hill's equation