Two Eigenfunction Expansions Of Dirac Operator With Three-point Boundary Condition

In this paper, eigenfunction expansion theorem of Dirac with three-point boundary condition is discussed. First, the research of eigenvalue is turned to the root of the integral function ω(λ). Then the Green function of resolvent is generated. Eigenfunction expansion theorem of reflecton and refraction with three-point boundary condition is considered by the residue method and integral operator method.