Singular Dirac Operator Spectral Analysis

In this paper,we study the eigenvalue problem of sigular Dirac operatoramong them whichequate an eigenvalue problem of a differentiation operator. In this paper,from Parseval formula of sigular Dirac operator,We will infer and proof inversion theorem of parseval formula of Dirac operator .Then analyse the relationship of spectral functionρ(λ)and spectral of Dirac operator.at last ,we draw out the spectral representation of Dirac operator.