The Hilbert Kernel Singular Integral Equaiton Regularization And Noether Theorem

General (closed or open arc curve) containing Hilbert kernel singular integral equation: Solving the problem,mainly through into Riemann value problem to study. Among them:L is closed or open arc curve, known function class, class, class and requirements of unknown function in the L sector region analysis. Literature [1],[2],[5],[8] on the Hilbert kernel singular integral equation is given detailed derivation.But for Hilbert kernel singular integral equation with Noether theory that has not been studied at present author.In this paper, by constructing a new regularization method to the Hilbert kernel singular integral equation is transformed into Fredholm equation, Fredholm equation can be derived by the theory of Hilbert kernel singular integral equation with Noether theory, and the validity of the further discussion.Further, this paper gives the Hilbert kernel singular integral equation regularization and Hilbert kernel singular integral equation with Noether theorem proving in the process encountered some lemmas and properties of operators is studied, in the study the paper uses generalized Plemelj formula, and the generalized Plemelj formula made detailed proof.