Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions. (13th February 2020)

• Record Type: Journal Article
• Authors: Li, Kun; Zhang, Maozhu; Cai, Jinming; Zheng, Zhaowen
• Other Names: Hassi Seppo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-02-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8718930
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper deals with a singular (Weyl's limit circle case) non-self-adjoint (dissipative) Dirac operator with eigenparameter dependent boundary condition and finite general transfer conditions. Using the equivalence between Lax-Phillips scattering matrix and Sz.-Nagy-Foiaş characteristic function, the completeness of the eigenfunctions and associated functions of this dissipative operator is discussed.