首页 | 本学科首页   官方微博 | 高级检索  
     检索      


On the double commutation method
Authors:F Gesztesy  G Teschl
Institution:Department of Mathematics, University of Missouri, Columbia, Missouri 65211 ; Department of Mathematics, University of Missouri, Columbia, Missouri 65211 - Department of Theoretical Physics, Technical University of Graz, Graz, 8010, Austria
Abstract:We provide a complete spectral characterization of the double commutation method for general Sturm-Liouville operators which inserts any finite number of prescribed eigenvalues into spectral gaps of a given background operator. Moreover, we explicitly determine the transformation operator which links the background operator to its doubly commuted version (resulting in extensions and considerably simplified proofs of spectral results even for the special case of Schrödinger-type operators).

Keywords:Commutation methods  Sturm-Liouville operators  eigenvalues
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号