A Study Of Some Discrete Dirac Equations With Principal Functions

Keywords

discrete Dirac equation; eigenvalue; principal function; spectral analysis

Abstract

Let L denote the operator generated in ℓ2(N, C2) by (Formula Presented.) and the boundary condition (Formula Presented.) where (an) , (bn) , (pn) and (qn) , n∈ N are complex sequences, γi, βi∈ C, i= 0 , 1 , 2 and λ is a eigenparameter. With respect to the spectral properties of L, we investigate the properties of the principal functions corresponding to the eigenvalues and the spectral singularities of L, if (Formula Presented.) holds for some ε> 0 and δ∈[12,1].

Publication Date

12-1-2016

Publication Title

Acta Mathematica Hungarica

Volume

150

Issue

2

Number of Pages

324-338

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10474-016-0638-6

Socpus ID

84978708657 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84978708657

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