The spectrum of the non-selfadjoint system of difference operators of first order

Abstract

Let L denote the operatör generated in f 2 by the diflerence expression an+iy'ı+\ ' +Pny® %) = 30 = 1, neN = {l,2,...) an-ıy:(D n-l +bny^^^ +qnyn and the boundary condition yf = 0 where (a„), (b„), (p„) and (q„) are complex sequences and a 0, bj, * o for aii n e N. İn this paper we n investig3te the continuous spectnım, tlıe eigaıvalues andthe spectral singularities of L.