Transformation Operators for Sturm-Liouville Operators with Singular Potentials

被引：0
|
作者：
Rostyslav O. Hryniv
Yaroslav V. Mykytyuk
机构：
[1] Ukraine and Lviv National University,Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova st., 79601 Lviv
[2] Lviv National University,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2004年 / 7卷
关键词：
transformation operators; Sturm-Liouville operators; singular potentials;
D O I：
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中图分类号：
学科分类号：
摘要：
We construct transformation operators for Sturm-Liouville operators with singular potentials from the space W−12(0,1) and show that these transformation operators naturally appear during factorisation of Fredholm operators of a special form. Some applications to the spectral analysis of Sturm-Liouville operators with singular potentials under consideration are also given.
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页码：119 / 149
页数：30
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