Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators

被引：1
|
作者：
Rainer Brunnhuber
Jonathan Eckhardt
Aleksey Kostenko
Gerald Teschl
机构：
[1] University of Klagenfurt,Institute of Mathematics
[2] Institut Mittag-Leffler,Faculty of Mathematics
[3] University of Vienna,undefined
[4] International Erwin Schrödinger Institute for Mathematical Physics,undefined
来源：
Monatshefte für Mathematik | 2014年 / 174卷
关键词：
Dirac operators; Spectral theory; Borg–Marchenko theorem; Primary 34B20; 34L40; Secondary 34L10; 34A55;
D O I：
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中图分类号：
学科分类号：
摘要：
We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg–Marchenko and Hochstadt–Lieberman type uniqueness results. Finally, we give some applications to the case of radial Dirac operators.
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页码：515 / 547
页数：32
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