On spectra of non-self-adjoint Sturm-Liouville operators

被引：14

作者：

Albeverio, S. ^{[1
,2
,3
,4
,5
,6
]}

Hryniv, R. ^{[7
]}

Mykytyuk, Ya. ^{[7
]}

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] SFB 611 & IZKS, Bonn, Germany

[3] BiBoS, Bielefeld, Germany

[4] CERFIM, Locarno, Switzerland

[5] Accademia Architettura, Mendrisio, Switzerland

[6] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

[7] Lviv Natl Univ, UA-79602 Lvov, Ukraine

来源：

SELECTA MATHEMATICA-NEW SERIES | 2008年 / 13卷 / 04期

关键词：

inverse spectral problems; Sturm-Liouville; non-self-adjoint operators; singular potentials;

D O I：

10.1007/s00029-008-0051-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectra of non-self-adjoint Sturm-Liouville operators with distributional potentials belonging to the space W(2)(-1)(0, 1) are studied. In particular, it is shown that any sequence of complex numbers obeying a specified asymptotics coincides with the spectrum of some non-self-adjoint Sturm-Liouville operator of the class under consideration. The inverse spectral problem of reconstructing an operator from two spectra or from one spectrum and suitably defined norming constants is also solved, and a complete description of the spectral data for the operators considered is given.

引用

页码：571 / 599

页数：29

共 30 条

[1] Inverse spectral problems for Sturm-Liouville operators in impedance form [J].