(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited

被引：0
|
作者：
Fritz Gesztesy
Konstantin A. Makarov
机构：
[1] University of Missouri,Department of Mathematics
来源：
Integral Equations and Operator Theory | 2004年 / 48卷 / 4期
关键词：
Primary: 47B10; 47G10; Secondary: 34B27; 34L40; Fredholm determinants; semi-separable kernels; Jost functions; transmission coefficients; Floquet discriminants; Day’s formula;
D O I：
10.1007/s00020-003-1279-z
中图分类号：
学科分类号：
摘要：
We revisit the computation of (2-modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels. The latter occur, for instance, in the form of Green’s functions associated with closed ordinary differential operators on arbitrary intervals on the real line. Our approach determines the (2-modified) Fredholm determinants in terms of solutions of closely associated Volterra integral equations, and as a result offers a natural way to compute such determinants.
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页码：561 / 602
页数：41
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