Eigenvalue estimates and trace formulas for the matrix Hill's equation

[摘要] Estimates for Floquet multipliers and periodic eigenvalues are developed for the matrix Hili's equation. Basic estimates and a description of the periodic eigenvalues as roots of an entire function are adequate for establishing trace formulas with a residue computation. Refined estimates and power sum formulas are available for restricted pairs of Hill's operators. (C) 2000 Academic Press.

[发布日期] 2000-10-10