Selfadjoint olmayan diskre Dirac operatörünün spektral analizi
Özet
This thesis deals with the spectral analysis of discrete Dirac operators defined on the Hubert space 1% (N, C2) and it consists four chapters. In the first chapter, besides the basic definitions and theorems of spectral analysis some main concepts have been also given. Second chapter is devoted to the Jost solutions of the discrete Dirac operators and its properties. In the third chapter the spectrum and spectral singularities of the resolvent operators of discrete Dirac operators have been examined. In the last chapter the fundamental vectors corresponding to the eigenvalues and spectral singularities of the discrete Dirac operator have been obtained. 2003, 57 pages Key Words: Discrete Dirac operator, Jost solution, eigenvalue, spectrum, resol- vent,spectral analysis, fundamental vectors.