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.

引用

页码：395 / 417

页数：23

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