Spectral Theory of Dirac Operators with Measures

dc.contributor.advisor	Remling, Christian
dc.contributor.author	Zeng, Jie
dc.contributor.committeeMember	Albert, John
dc.contributor.committeeMember	¨Ozaydın, Murad
dc.contributor.committeeMember	Uchoa, Bruno
dc.contributor.committeeMember	Zhu, Meijun
dc.date.accessioned	2023-05-08T19:50:03Z
dc.date.available	2023-05-08T19:50:03Z
dc.date.issued	2023-05-12
dc.date.manuscript	2023-04-17
dc.description.abstract	Dirac operators with measures are the extension of the classical Dirac operators. We give a compatible interpretation of such a Dirac differential equation with a measure coefficient and discuss the general direct spectral theory of this kind of operators. We also discuss the relationship between a Dirac operator and a more general differential equation called a canonical system. After that, it is also discussed that de Branges spaces of a Dirac operator, which can be applied in the inverse spectral theory.	en_US
dc.identifier.uri	https://shareok.org/handle/11244/337596
dc.language	en_US	en_US
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Dirac operators	en_US
dc.subject	Differential equations with measure coefficients	en_US
dc.subject	Spectral theory	en_US
dc.subject	De Branges spaces	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	Spectral Theory of Dirac Operators with Measures	en_US
ou.group	Dodge Family College of Arts and Sciences::Department of Mathematics	en_US
shareok.orcid	https://orcid.org/0009-0009-8442-9640	en_US