Direct and Inverse Spectral Theory of One-dimensional Schrödinger Operators with Measures

被引：0
|
作者：
Ali Ben Amor
Christian Remling
机构：
[1] Universität Osnabrück Fachbereich Mathematik/Informatik,
来源：
Integral Equations and Operator Theory | 2005年 / 52卷
关键词：
Primary 34L15; 34L40; Secondary 34L16; Schrödinger operator; spectral measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present a direct and rather elementary method for defining and analyzing one-dimensional Schrödinger operators H = −d2/dx2 + μ with measures as potentials. The basic idea is to let the (suitably interpreted) equation −f′′ + μ f = zf take center stage.We show that the basic results from direct and inverse spectral theory then carry over to Schrödinger operators with measures.
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页码：395 / 417
页数：22
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