Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions

Autor:	Zhaowen Zheng, Maozhu Zhang, Jinming Cai, Kun Li
Rok vydání:	2020
Předmět:	Article Subject Characteristic function (probability theory) 010102 general mathematics Mathematics::Spectral Theory Dissipative operator Eigenfunction Dirac operator 01 natural sciences 010101 applied mathematics Matrix (mathematics) symbols.namesake Completeness (order theory) QA1-939 Dissipative system symbols Boundary value problem 0101 mathematics Mathematics Analysis Mathematical physics
Zdroj:	Journal of Function Spaces, Vol 2020 (2020)
ISSN:	2314-8888 2314-8896
DOI:	10.1155/2020/8718930
Popis:	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.
Databáze:	OpenAIRE
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