Direct and inverse spectral theory of one-dimensional Schrodinger operators with measures

被引：22
|
作者：
Ben Amor, A [1 ]
Remling, C [1 ]
机构：
[1] Univ Osnabruck, Fachbereich Math Informat, D-49069 Osnabruck, Germany
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2005年 / 52卷 / 03期
关键词：
Schrodinger operator; spectral measure;
D O I：
10.1007/s00020-004-1352-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a direct and rather elementary method for defining and analyzing one-dimensional Schrodinger operators H = -d(2)/dx(2) + mu with measures as potentials. The basic idea is to let the (suitably interpreted) equation -f" + mu f = zf take center stage. We show that the basic results from direct and inverse spectral theory then carry over to Schrodinger operators with measures.
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页码：395 / 417
页数：23
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