Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions
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,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8718930 |
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| _version_ | 1832567945475129344 |
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| author | Kun Li Maozhu Zhang Jinming Cai Zhaowen Zheng |
| author_facet | Kun Li Maozhu Zhang Jinming Cai Zhaowen Zheng |
| author_sort | Kun Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7bbd1f28326b4a3ca87edb4dcea1a221 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7bbd1f28326b4a3ca87edb4dcea1a2212025-02-03T01:00:05ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/87189308718930Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer ConditionsKun Li0Maozhu Zhang1Jinming Cai2Zhaowen Zheng3School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaCollege of Mathematics and Statistics, Taishan University, Taian, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaThis 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.http://dx.doi.org/10.1155/2020/8718930 |
| spellingShingle | Kun Li Maozhu Zhang Jinming Cai Zhaowen Zheng Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions Journal of Function Spaces |
| title | Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions |
| title_full | Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions |
| title_fullStr | Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions |
| title_full_unstemmed | Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions |
| title_short | Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions |
| title_sort | completeness theorem for eigenparameter dependent dissipative dirac operator with general transfer conditions |
| url | http://dx.doi.org/10.1155/2020/8718930 |
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