Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions

Abstract

Let L denote the operator generated in ℓ2(ℕ, ℂ2) by , , n∈ℕ, and the boundary condition , where (an) , (bn), (pn), and (qn) , n∈ℕ are complex sequences, γi, βi∈ℂ , i = 0,1, and λ is an eigenparameter. In this paper we investigated the principal functions corresponding to the eigenvalues and the spectral singularities of L.